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Finding the Third Proportional to 242,367 and 517,725

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Solution

The third proportional to 242,367 and 517,725 is: 1,105,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,367 : 517,725 = 517,725 : x
  2. Step 2: Convert to fraction form
    242,367/517,725 = 517,725/x
  3. Step 3: Cross multiply
    242,367x = 517,725 × 517,725
  4. Step 4: Simplify right side
    242,367x = 268,039,175,625
  5. Step 5: Solve for x
    x = 268,039,175,625/242,367
  6. Step 6: Final answer
    x = 1,105,922.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.