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Finding the Third Proportional to 472,761.28 and 707,471.02

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Solution

The third proportional to 472,761.28 and 707,471.02 is: 1,058,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,761.28 : 707,471.02 = 707,471.02 : x
  2. Step 2: Convert to fraction form
    472,761.28/707,471.02 = 707,471.02/x
  3. Step 3: Cross multiply
    472,761.28x = 707,471.02 × 707,471.02
  4. Step 4: Simplify right side
    472,761.28x = 500,515,237,949.47
  5. Step 5: Solve for x
    x = 500,515,237,949.47/472,761.28
  6. Step 6: Final answer
    x = 1,058,706.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.