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Finding the Third Proportional to 322,950 and 480,729

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Solution

The third proportional to 322,950 and 480,729 is: 715,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,950 : 480,729 = 480,729 : x
  2. Step 2: Convert to fraction form
    322,950/480,729 = 480,729/x
  3. Step 3: Cross multiply
    322,950x = 480,729 × 480,729
  4. Step 4: Simplify right side
    322,950x = 231,100,371,441
  5. Step 5: Solve for x
    x = 231,100,371,441/322,950
  6. Step 6: Final answer
    x = 715,591.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.