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Finding the Third Proportional to 329,295,046.50 and 650,261,994.75

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Solution

The third proportional to 329,295,046.50 and 650,261,994.75 is: 1,284,078,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,295,046.50 : 650,261,994.75 = 650,261,994.75 : x
  2. Step 2: Convert to fraction form
    329,295,046.50/650,261,994.75 = 650,261,994.75/x
  3. Step 3: Cross multiply
    329,295,046.50x = 650,261,994.75 × 650,261,994.75
  4. Step 4: Simplify right side
    329,295,046.50x = 422,840,661,816,249,024
  5. Step 5: Solve for x
    x = 422,840,661,816,249,024/329,295,046.50
  6. Step 6: Final answer
    x = 1,284,078,416.33

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.