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Finding the Third Proportional to 442,048 and 665,656

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Solution

The third proportional to 442,048 and 665,656 is: 1,002,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,048 : 665,656 = 665,656 : x
  2. Step 2: Convert to fraction form
    442,048/665,656 = 665,656/x
  3. Step 3: Cross multiply
    442,048x = 665,656 × 665,656
  4. Step 4: Simplify right side
    442,048x = 443,097,910,336
  5. Step 5: Solve for x
    x = 443,097,910,336/442,048
  6. Step 6: Final answer
    x = 1,002,375.10

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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.