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Finding the Third Proportional to 332,741.25 and 516,182.63

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Solution

The third proportional to 332,741.25 and 516,182.63 is: 800,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,741.25 : 516,182.63 = 516,182.63 : x
  2. Step 2: Convert to fraction form
    332,741.25/516,182.63 = 516,182.63/x
  3. Step 3: Cross multiply
    332,741.25x = 516,182.63 × 516,182.63
  4. Step 4: Simplify right side
    332,741.25x = 266,444,502,351.89
  5. Step 5: Solve for x
    x = 266,444,502,351.89/332,741.25
  6. Step 6: Final answer
    x = 800,755.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.