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Finding the Third Proportional to 244,104 and 527,688

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Solution

The third proportional to 244,104 and 527,688 is: 1,140,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,104 : 527,688 = 527,688 : x
  2. Step 2: Convert to fraction form
    244,104/527,688 = 527,688/x
  3. Step 3: Cross multiply
    244,104x = 527,688 × 527,688
  4. Step 4: Simplify right side
    244,104x = 278,454,625,344
  5. Step 5: Solve for x
    x = 278,454,625,344/244,104
  6. Step 6: Final answer
    x = 1,140,721.27

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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.