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Finding the Third Proportional to 244,204 and 527,922

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Solution

The third proportional to 244,204 and 527,922 is: 1,141,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,204 : 527,922 = 527,922 : x
  2. Step 2: Convert to fraction form
    244,204/527,922 = 527,922/x
  3. Step 3: Cross multiply
    244,204x = 527,922 × 527,922
  4. Step 4: Simplify right side
    244,204x = 278,701,638,084
  5. Step 5: Solve for x
    x = 278,701,638,084/244,204
  6. Step 6: Final answer
    x = 1,141,265.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.