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Finding the Third Proportional to 311,069 and 472,758

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Solution

The third proportional to 311,069 and 472,758 is: 718,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,069 : 472,758 = 472,758 : x
  2. Step 2: Convert to fraction form
    311,069/472,758 = 472,758/x
  3. Step 3: Cross multiply
    311,069x = 472,758 × 472,758
  4. Step 4: Simplify right side
    311,069x = 223,500,126,564
  5. Step 5: Solve for x
    x = 223,500,126,564/311,069
  6. Step 6: Final answer
    x = 718,490.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.