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Finding the Third Proportional to 269,300.25 and 409,545.75

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Solution

The third proportional to 269,300.25 and 409,545.75 is: 622,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,300.25 : 409,545.75 = 409,545.75 : x
  2. Step 2: Convert to fraction form
    269,300.25/409,545.75 = 409,545.75/x
  3. Step 3: Cross multiply
    269,300.25x = 409,545.75 × 409,545.75
  4. Step 4: Simplify right side
    269,300.25x = 167,727,721,343.06
  5. Step 5: Solve for x
    x = 167,727,721,343.06/269,300.25
  6. Step 6: Final answer
    x = 622,827.95

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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.