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Finding the Third Proportional to 244,377 and 517,698

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Solution

The third proportional to 244,377 and 517,698 is: 1,096,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,377 : 517,698 = 517,698 : x
  2. Step 2: Convert to fraction form
    244,377/517,698 = 517,698/x
  3. Step 3: Cross multiply
    244,377x = 517,698 × 517,698
  4. Step 4: Simplify right side
    244,377x = 268,011,219,204
  5. Step 5: Solve for x
    x = 268,011,219,204/244,377
  6. Step 6: Final answer
    x = 1,096,712.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.