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Finding the Third Proportional to 185,563 and 413,624

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Solution

The third proportional to 185,563 and 413,624 is: 921,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,563 : 413,624 = 413,624 : x
  2. Step 2: Convert to fraction form
    185,563/413,624 = 413,624/x
  3. Step 3: Cross multiply
    185,563x = 413,624 × 413,624
  4. Step 4: Simplify right side
    185,563x = 171,084,813,376
  5. Step 5: Solve for x
    x = 171,084,813,376/185,563
  6. Step 6: Final answer
    x = 921,976.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.