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Finding the Third Proportional to 408,621.38 and 560,908.13

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Solution

The third proportional to 408,621.38 and 560,908.13 is: 769,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,621.38 : 560,908.13 = 560,908.13 : x
  2. Step 2: Convert to fraction form
    408,621.38/560,908.13 = 560,908.13/x
  3. Step 3: Cross multiply
    408,621.38x = 560,908.13 × 560,908.13
  4. Step 4: Simplify right side
    408,621.38x = 314,617,924,691.02
  5. Step 5: Solve for x
    x = 314,617,924,691.02/408,621.38
  6. Step 6: Final answer
    x = 769,949.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.