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Finding the Third Proportional to 425,732.50 and 654,571

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Solution

The third proportional to 425,732.50 and 654,571 is: 1,006,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,732.50 : 654,571 = 654,571 : x
  2. Step 2: Convert to fraction form
    425,732.50/654,571 = 654,571/x
  3. Step 3: Cross multiply
    425,732.50x = 654,571 × 654,571
  4. Step 4: Simplify right side
    425,732.50x = 428,463,194,041
  5. Step 5: Solve for x
    x = 428,463,194,041/425,732.50
  6. Step 6: Final answer
    x = 1,006,414.11

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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.