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Finding the Third Proportional to 425,395.97 and 659,008.41

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Solution

The third proportional to 425,395.97 and 659,008.41 is: 1,020,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,395.97 : 659,008.41 = 659,008.41 : x
  2. Step 2: Convert to fraction form
    425,395.97/659,008.41 = 659,008.41/x
  3. Step 3: Cross multiply
    425,395.97x = 659,008.41 × 659,008.41
  4. Step 4: Simplify right side
    425,395.97x = 434,292,079,508.17
  5. Step 5: Solve for x
    x = 434,292,079,508.17/425,395.97
  6. Step 6: Final answer
    x = 1,020,912.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.