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Finding the Third Proportional to 425,715 and 654,549

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Solution

The third proportional to 425,715 and 654,549 is: 1,006,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,715 : 654,549 = 654,549 : x
  2. Step 2: Convert to fraction form
    425,715/654,549 = 654,549/x
  3. Step 3: Cross multiply
    425,715x = 654,549 × 654,549
  4. Step 4: Simplify right side
    425,715x = 428,434,393,401
  5. Step 5: Solve for x
    x = 428,434,393,401/425,715
  6. Step 6: Final answer
    x = 1,006,387.83

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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.