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Finding the Third Proportional to 250,562 and 527,356

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Solution

The third proportional to 250,562 and 527,356 is: 1,109,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,562 : 527,356 = 527,356 : x
  2. Step 2: Convert to fraction form
    250,562/527,356 = 527,356/x
  3. Step 3: Cross multiply
    250,562x = 527,356 × 527,356
  4. Step 4: Simplify right side
    250,562x = 278,104,350,736
  5. Step 5: Solve for x
    x = 278,104,350,736/250,562
  6. Step 6: Final answer
    x = 1,109,922.30

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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.