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Finding the Third Proportional to 269,234 and 587,365

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Solution

The third proportional to 269,234 and 587,365 is: 1,281,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,234 : 587,365 = 587,365 : x
  2. Step 2: Convert to fraction form
    269,234/587,365 = 587,365/x
  3. Step 3: Cross multiply
    269,234x = 587,365 × 587,365
  4. Step 4: Simplify right side
    269,234x = 344,997,643,225
  5. Step 5: Solve for x
    x = 344,997,643,225/269,234
  6. Step 6: Final answer
    x = 1,281,404.44

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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.