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Finding the Third Proportional to 332,766 and 498,986

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Solution

The third proportional to 332,766 and 498,986 is: 748,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,766 : 498,986 = 498,986 : x
  2. Step 2: Convert to fraction form
    332,766/498,986 = 498,986/x
  3. Step 3: Cross multiply
    332,766x = 498,986 × 498,986
  4. Step 4: Simplify right side
    332,766x = 248,987,028,196
  5. Step 5: Solve for x
    x = 248,987,028,196/332,766
  6. Step 6: Final answer
    x = 748,234.58

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