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Finding the Third Proportional to 341,400 and 516,816

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Solution

The third proportional to 341,400 and 516,816 is: 782,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,400 : 516,816 = 516,816 : x
  2. Step 2: Convert to fraction form
    341,400/516,816 = 516,816/x
  3. Step 3: Cross multiply
    341,400x = 516,816 × 516,816
  4. Step 4: Simplify right side
    341,400x = 267,098,777,856
  5. Step 5: Solve for x
    x = 267,098,777,856/341,400
  6. Step 6: Final answer
    x = 782,363.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.