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Finding the Third Proportional to 206,624 and 452,560

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Solution

The third proportional to 206,624 and 452,560 is: 991,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,624 : 452,560 = 452,560 : x
  2. Step 2: Convert to fraction form
    206,624/452,560 = 452,560/x
  3. Step 3: Cross multiply
    206,624x = 452,560 × 452,560
  4. Step 4: Simplify right side
    206,624x = 204,810,553,600
  5. Step 5: Solve for x
    x = 204,810,553,600/206,624
  6. Step 6: Final answer
    x = 991,223.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.