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Finding the Third Proportional to 269,231 and 587,359

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Solution

The third proportional to 269,231 and 587,359 is: 1,281,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,231 : 587,359 = 587,359 : x
  2. Step 2: Convert to fraction form
    269,231/587,359 = 587,359/x
  3. Step 3: Cross multiply
    269,231x = 587,359 × 587,359
  4. Step 4: Simplify right side
    269,231x = 344,990,594,881
  5. Step 5: Solve for x
    x = 344,990,594,881/269,231
  6. Step 6: Final answer
    x = 1,281,392.54

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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.