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Finding the Third Proportional to 311,934 and 472,302

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Solution

The third proportional to 311,934 and 472,302 is: 715,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934 : 472,302 = 472,302 : x
  2. Step 2: Convert to fraction form
    311,934/472,302 = 472,302/x
  3. Step 3: Cross multiply
    311,934x = 472,302 × 472,302
  4. Step 4: Simplify right side
    311,934x = 223,069,179,204
  5. Step 5: Solve for x
    x = 223,069,179,204/311,934
  6. Step 6: Final answer
    x = 715,116.59

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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.