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Finding the Third Proportional to 250,564 and 527,360

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Solution

The third proportional to 250,564 and 527,360 is: 1,109,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,564 : 527,360 = 527,360 : x
  2. Step 2: Convert to fraction form
    250,564/527,360 = 527,360/x
  3. Step 3: Cross multiply
    250,564x = 527,360 × 527,360
  4. Step 4: Simplify right side
    250,564x = 278,108,569,600
  5. Step 5: Solve for x
    x = 278,108,569,600/250,564
  6. Step 6: Final answer
    x = 1,109,930.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.