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Finding the Third Proportional to 269,675 and 586,917

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Solution

The third proportional to 269,675 and 586,917 is: 1,277,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,675 : 586,917 = 586,917 : x
  2. Step 2: Convert to fraction form
    269,675/586,917 = 586,917/x
  3. Step 3: Cross multiply
    269,675x = 586,917 × 586,917
  4. Step 4: Simplify right side
    269,675x = 344,471,564,889
  5. Step 5: Solve for x
    x = 344,471,564,889/269,675
  6. Step 6: Final answer
    x = 1,277,358.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.