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Finding the Third Proportional to 360,566 and 522,257

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Solution

The third proportional to 360,566 and 522,257 is: 756,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,566 : 522,257 = 522,257 : x
  2. Step 2: Convert to fraction form
    360,566/522,257 = 522,257/x
  3. Step 3: Cross multiply
    360,566x = 522,257 × 522,257
  4. Step 4: Simplify right side
    360,566x = 272,752,374,049
  5. Step 5: Solve for x
    x = 272,752,374,049/360,566
  6. Step 6: Final answer
    x = 756,456.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.