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Finding the Third Proportional to 269,680 and 586,424

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Solution

The third proportional to 269,680 and 586,424 is: 1,275,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,680 : 586,424 = 586,424 : x
  2. Step 2: Convert to fraction form
    269,680/586,424 = 586,424/x
  3. Step 3: Cross multiply
    269,680x = 586,424 × 586,424
  4. Step 4: Simplify right side
    269,680x = 343,893,107,776
  5. Step 5: Solve for x
    x = 343,893,107,776/269,680
  6. Step 6: Final answer
    x = 1,275,189.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.