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Finding the Third Proportional to 425,730 and 654,567

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Solution

The third proportional to 425,730 and 654,567 is: 1,006,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,730 : 654,567 = 654,567 : x
  2. Step 2: Convert to fraction form
    425,730/654,567 = 654,567/x
  3. Step 3: Cross multiply
    425,730x = 654,567 × 654,567
  4. Step 4: Simplify right side
    425,730x = 428,457,957,489
  5. Step 5: Solve for x
    x = 428,457,957,489/425,730
  6. Step 6: Final answer
    x = 1,006,407.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.