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Finding the Third Proportional to 472,608 and 718,632

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Solution

The third proportional to 472,608 and 718,632 is: 1,092,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,608 : 718,632 = 718,632 : x
  2. Step 2: Convert to fraction form
    472,608/718,632 = 718,632/x
  3. Step 3: Cross multiply
    472,608x = 718,632 × 718,632
  4. Step 4: Simplify right side
    472,608x = 516,431,951,424
  5. Step 5: Solve for x
    x = 516,431,951,424/472,608
  6. Step 6: Final answer
    x = 1,092,727.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.