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Finding the Third Proportional to 321,757 and 482,014

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Solution

The third proportional to 321,757 and 482,014 is: 722,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,757 : 482,014 = 482,014 : x
  2. Step 2: Convert to fraction form
    321,757/482,014 = 482,014/x
  3. Step 3: Cross multiply
    321,757x = 482,014 × 482,014
  4. Step 4: Simplify right side
    321,757x = 232,337,496,196
  5. Step 5: Solve for x
    x = 232,337,496,196/321,757
  6. Step 6: Final answer
    x = 722,089.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.