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Finding the Third Proportional to 311,172 and 482,758

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Solution

The third proportional to 311,172 and 482,758 is: 748,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,172 : 482,758 = 482,758 : x
  2. Step 2: Convert to fraction form
    311,172/482,758 = 482,758/x
  3. Step 3: Cross multiply
    311,172x = 482,758 × 482,758
  4. Step 4: Simplify right side
    311,172x = 233,055,286,564
  5. Step 5: Solve for x
    x = 233,055,286,564/311,172
  6. Step 6: Final answer
    x = 748,959.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.