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Finding the Third Proportional to 269,294.91 and 409,537.69

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Solution

The third proportional to 269,294.91 and 409,537.69 is: 622,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,294.91 : 409,537.69 = 409,537.69 : x
  2. Step 2: Convert to fraction form
    269,294.91/409,537.69 = 409,537.69/x
  3. Step 3: Cross multiply
    269,294.91x = 409,537.69 × 409,537.69
  4. Step 4: Simplify right side
    269,294.91x = 167,721,117,482.85
  5. Step 5: Solve for x
    x = 167,721,117,482.85/269,294.91
  6. Step 6: Final answer
    x = 622,815.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.