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Finding the Third Proportional to 332,756 and 498,972

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Solution

The third proportional to 332,756 and 498,972 is: 748,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,756 : 498,972 = 498,972 : x
  2. Step 2: Convert to fraction form
    332,756/498,972 = 498,972/x
  3. Step 3: Cross multiply
    332,756x = 498,972 × 498,972
  4. Step 4: Simplify right side
    332,756x = 248,973,056,784
  5. Step 5: Solve for x
    x = 248,973,056,784/332,756
  6. Step 6: Final answer
    x = 748,215.08

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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.