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Finding the Third Proportional to 516,792 and 805,812

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Solution

The third proportional to 516,792 and 805,812 is: 1,256,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,792 : 805,812 = 805,812 : x
  2. Step 2: Convert to fraction form
    516,792/805,812 = 805,812/x
  3. Step 3: Cross multiply
    516,792x = 805,812 × 805,812
  4. Step 4: Simplify right side
    516,792x = 649,332,979,344
  5. Step 5: Solve for x
    x = 649,332,979,344/516,792
  6. Step 6: Final answer
    x = 1,256,468.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.