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Finding the Third Proportional to 337,252,639.50 and 752,050,590.75

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Solution

The third proportional to 337,252,639.50 and 752,050,590.75 is: 1,677,021,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,252,639.50 : 752,050,590.75 = 752,050,590.75 : x
  2. Step 2: Convert to fraction form
    337,252,639.50/752,050,590.75 = 752,050,590.75/x
  3. Step 3: Cross multiply
    337,252,639.50x = 752,050,590.75 × 752,050,590.75
  4. Step 4: Simplify right side
    337,252,639.50x = 565,580,091,047,424,000
  5. Step 5: Solve for x
    x = 565,580,091,047,424,000/337,252,639.50
  6. Step 6: Final answer
    x = 1,677,021,985.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.