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Finding the Third Proportional to 516,344 and 743,680

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Solution

The third proportional to 516,344 and 743,680 is: 1,071,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,344 : 743,680 = 743,680 : x
  2. Step 2: Convert to fraction form
    516,344/743,680 = 743,680/x
  3. Step 3: Cross multiply
    516,344x = 743,680 × 743,680
  4. Step 4: Simplify right side
    516,344x = 553,059,942,400
  5. Step 5: Solve for x
    x = 553,059,942,400/516,344
  6. Step 6: Final answer
    x = 1,071,107.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.