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Finding the Third Proportional to 329,294,836.50 and 650,261,572.50

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Solution

The third proportional to 329,294,836.50 and 650,261,572.50 is: 1,284,077,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,294,836.50 : 650,261,572.50 = 650,261,572.50 : x
  2. Step 2: Convert to fraction form
    329,294,836.50/650,261,572.50 = 650,261,572.50/x
  3. Step 3: Cross multiply
    329,294,836.50x = 650,261,572.50 × 650,261,572.50
  4. Step 4: Simplify right side
    329,294,836.50x = 422,840,112,670,172,736
  5. Step 5: Solve for x
    x = 422,840,112,670,172,736/329,294,836.50
  6. Step 6: Final answer
    x = 1,284,077,567.58

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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.