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Finding the Third Proportional to 341,404 and 516,822

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Solution

The third proportional to 341,404 and 516,822 is: 782,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,404 : 516,822 = 516,822 : x
  2. Step 2: Convert to fraction form
    341,404/516,822 = 516,822/x
  3. Step 3: Cross multiply
    341,404x = 516,822 × 516,822
  4. Step 4: Simplify right side
    341,404x = 267,104,979,684
  5. Step 5: Solve for x
    x = 267,104,979,684/341,404
  6. Step 6: Final answer
    x = 782,372.14

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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.