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Finding the Third Proportional to 311,886 and 482,733

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Solution

The third proportional to 311,886 and 482,733 is: 747,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,886 : 482,733 = 482,733 : x
  2. Step 2: Convert to fraction form
    311,886/482,733 = 482,733/x
  3. Step 3: Cross multiply
    311,886x = 482,733 × 482,733
  4. Step 4: Simplify right side
    311,886x = 233,031,149,289
  5. Step 5: Solve for x
    x = 233,031,149,289/311,886
  6. Step 6: Final answer
    x = 747,167.71

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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.