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Finding the Third Proportional to 269,230 and 587,356

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Solution

The third proportional to 269,230 and 587,356 is: 1,281,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,230 : 587,356 = 587,356 : x
  2. Step 2: Convert to fraction form
    269,230/587,356 = 587,356/x
  3. Step 3: Cross multiply
    269,230x = 587,356 × 587,356
  4. Step 4: Simplify right side
    269,230x = 344,987,070,736
  5. Step 5: Solve for x
    x = 344,987,070,736/269,230
  6. Step 6: Final answer
    x = 1,281,384.21

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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.