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Finding the Third Proportional to 389,614.50 and 582,854.06

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Solution

The third proportional to 389,614.50 and 582,854.06 is: 871,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,614.50 : 582,854.06 = 582,854.06 : x
  2. Step 2: Convert to fraction form
    389,614.50/582,854.06 = 582,854.06/x
  3. Step 3: Cross multiply
    389,614.50x = 582,854.06 × 582,854.06
  4. Step 4: Simplify right side
    389,614.50x = 339,718,858,172.75
  5. Step 5: Solve for x
    x = 339,718,858,172.75/389,614.50
  6. Step 6: Final answer
    x = 871,935.87

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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.