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Finding the Third Proportional to 304,084.13 and 394,480.13

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Solution

The third proportional to 304,084.13 and 394,480.13 is: 511,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,084.13 : 394,480.13 = 394,480.13 : x
  2. Step 2: Convert to fraction form
    304,084.13/394,480.13 = 394,480.13/x
  3. Step 3: Cross multiply
    304,084.13x = 394,480.13 × 394,480.13
  4. Step 4: Simplify right side
    304,084.13x = 155,614,569,020.02
  5. Step 5: Solve for x
    x = 155,614,569,020.02/304,084.13
  6. Step 6: Final answer
    x = 511,748.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.