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Finding the Third Proportional to 332,834.06 and 540,758.53

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Solution

The third proportional to 332,834.06 and 540,758.53 is: 878,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,834.06 : 540,758.53 = 540,758.53 : x
  2. Step 2: Convert to fraction form
    332,834.06/540,758.53 = 540,758.53/x
  3. Step 3: Cross multiply
    332,834.06x = 540,758.53 × 540,758.53
  4. Step 4: Simplify right side
    332,834.06x = 292,419,789,119.66
  5. Step 5: Solve for x
    x = 292,419,789,119.66/332,834.06
  6. Step 6: Final answer
    x = 878,575.31

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.