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Finding the Third Proportional to 318,874 and 472,154

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Solution

The third proportional to 318,874 and 472,154 is: 699,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,874 : 472,154 = 472,154 : x
  2. Step 2: Convert to fraction form
    318,874/472,154 = 472,154/x
  3. Step 3: Cross multiply
    318,874x = 472,154 × 472,154
  4. Step 4: Simplify right side
    318,874x = 222,929,399,716
  5. Step 5: Solve for x
    x = 222,929,399,716/318,874
  6. Step 6: Final answer
    x = 699,114.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.