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Finding the Third Proportional to 442,327.50 and 667,146

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Solution

The third proportional to 442,327.50 and 667,146 is: 1,006,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,327.50 : 667,146 = 667,146 : x
  2. Step 2: Convert to fraction form
    442,327.50/667,146 = 667,146/x
  3. Step 3: Cross multiply
    442,327.50x = 667,146 × 667,146
  4. Step 4: Simplify right side
    442,327.50x = 445,083,785,316
  5. Step 5: Solve for x
    x = 445,083,785,316/442,327.50
  6. Step 6: Final answer
    x = 1,006,231.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.