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Finding the Third Proportional to 269,229 and 587,354

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Solution

The third proportional to 269,229 and 587,354 is: 1,281,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,229 : 587,354 = 587,354 : x
  2. Step 2: Convert to fraction form
    269,229/587,354 = 587,354/x
  3. Step 3: Cross multiply
    269,229x = 587,354 × 587,354
  4. Step 4: Simplify right side
    269,229x = 344,984,721,316
  5. Step 5: Solve for x
    x = 344,984,721,316/269,229
  6. Step 6: Final answer
    x = 1,281,380.24

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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.