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Finding the Third Proportional to 442,335 and 667,157

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Solution

The third proportional to 442,335 and 667,157 is: 1,006,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,335 : 667,157 = 667,157 : x
  2. Step 2: Convert to fraction form
    442,335/667,157 = 667,157/x
  3. Step 3: Cross multiply
    442,335x = 667,157 × 667,157
  4. Step 4: Simplify right side
    442,335x = 445,098,462,649
  5. Step 5: Solve for x
    x = 445,098,462,649/442,335
  6. Step 6: Final answer
    x = 1,006,247.44

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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.