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Finding the Third Proportional to 425,723 and 654,561

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Solution

The third proportional to 425,723 and 654,561 is: 1,006,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,723 : 654,561 = 654,561 : x
  2. Step 2: Convert to fraction form
    425,723/654,561 = 654,561/x
  3. Step 3: Cross multiply
    425,723x = 654,561 × 654,561
  4. Step 4: Simplify right side
    425,723x = 428,450,102,721
  5. Step 5: Solve for x
    x = 428,450,102,721/425,723
  6. Step 6: Final answer
    x = 1,006,405.81

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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.