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Finding the Third Proportional to 387,767.50 and 582,061

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Solution

The third proportional to 387,767.50 and 582,061 is: 873,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,767.50 : 582,061 = 582,061 : x
  2. Step 2: Convert to fraction form
    387,767.50/582,061 = 582,061/x
  3. Step 3: Cross multiply
    387,767.50x = 582,061 × 582,061
  4. Step 4: Simplify right side
    387,767.50x = 338,795,007,721
  5. Step 5: Solve for x
    x = 338,795,007,721/387,767.50
  6. Step 6: Final answer
    x = 873,706.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.