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Finding the Third Proportional to 466,627.50 and 657,567

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Solution

The third proportional to 466,627.50 and 657,567 is: 926,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,627.50 : 657,567 = 657,567 : x
  2. Step 2: Convert to fraction form
    466,627.50/657,567 = 657,567/x
  3. Step 3: Cross multiply
    466,627.50x = 657,567 × 657,567
  4. Step 4: Simplify right side
    466,627.50x = 432,394,359,489
  5. Step 5: Solve for x
    x = 432,394,359,489/466,627.50
  6. Step 6: Final answer
    x = 926,637.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.