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Finding the Third Proportional to 250,560 and 527,352

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Solution

The third proportional to 250,560 and 527,352 is: 1,109,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,560 : 527,352 = 527,352 : x
  2. Step 2: Convert to fraction form
    250,560/527,352 = 527,352/x
  3. Step 3: Cross multiply
    250,560x = 527,352 × 527,352
  4. Step 4: Simplify right side
    250,560x = 278,100,131,904
  5. Step 5: Solve for x
    x = 278,100,131,904/250,560
  6. Step 6: Final answer
    x = 1,109,914.32

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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.