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Finding the Third Proportional to 269,052 and 404,217

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Solution

The third proportional to 269,052 and 404,217 is: 607,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,052 : 404,217 = 404,217 : x
  2. Step 2: Convert to fraction form
    269,052/404,217 = 404,217/x
  3. Step 3: Cross multiply
    269,052x = 404,217 × 404,217
  4. Step 4: Simplify right side
    269,052x = 163,391,383,089
  5. Step 5: Solve for x
    x = 163,391,383,089/269,052
  6. Step 6: Final answer
    x = 607,285.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.