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Finding the Third Proportional to 279,651 and 586,626

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Solution

The third proportional to 279,651 and 586,626 is: 1,230,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,651 : 586,626 = 586,626 : x
  2. Step 2: Convert to fraction form
    279,651/586,626 = 586,626/x
  3. Step 3: Cross multiply
    279,651x = 586,626 × 586,626
  4. Step 4: Simplify right side
    279,651x = 344,130,063,876
  5. Step 5: Solve for x
    x = 344,130,063,876/279,651
  6. Step 6: Final answer
    x = 1,230,569.76

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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.