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Finding the Third Proportional to 332,758 and 498,975

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Solution

The third proportional to 332,758 and 498,975 is: 748,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,758 : 498,975 = 498,975 : x
  2. Step 2: Convert to fraction form
    332,758/498,975 = 498,975/x
  3. Step 3: Cross multiply
    332,758x = 498,975 × 498,975
  4. Step 4: Simplify right side
    332,758x = 248,976,050,625
  5. Step 5: Solve for x
    x = 248,976,050,625/332,758
  6. Step 6: Final answer
    x = 748,219.58

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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.