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Finding the Third Proportional to 381,448.25 and 560,494.75

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Solution

The third proportional to 381,448.25 and 560,494.75 is: 823,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,448.25 : 560,494.75 = 560,494.75 : x
  2. Step 2: Convert to fraction form
    381,448.25/560,494.75 = 560,494.75/x
  3. Step 3: Cross multiply
    381,448.25x = 560,494.75 × 560,494.75
  4. Step 4: Simplify right side
    381,448.25x = 314,154,364,777.56
  5. Step 5: Solve for x
    x = 314,154,364,777.56/381,448.25
  6. Step 6: Final answer
    x = 823,583.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.