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Finding the Third Proportional to 257,730 and 522,708

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Solution

The third proportional to 257,730 and 522,708 is: 1,060,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,730 : 522,708 = 522,708 : x
  2. Step 2: Convert to fraction form
    257,730/522,708 = 522,708/x
  3. Step 3: Cross multiply
    257,730x = 522,708 × 522,708
  4. Step 4: Simplify right side
    257,730x = 273,223,653,264
  5. Step 5: Solve for x
    x = 273,223,653,264/257,730
  6. Step 6: Final answer
    x = 1,060,115.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.