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Finding the Third Proportional to 269,952 and 581,376

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Solution

The third proportional to 269,952 and 581,376 is: 1,252,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,952 : 581,376 = 581,376 : x
  2. Step 2: Convert to fraction form
    269,952/581,376 = 581,376/x
  3. Step 3: Cross multiply
    269,952x = 581,376 × 581,376
  4. Step 4: Simplify right side
    269,952x = 337,998,053,376
  5. Step 5: Solve for x
    x = 337,998,053,376/269,952
  6. Step 6: Final answer
    x = 1,252,067.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.