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Finding the Third Proportional to 332,741.25 and 516,186

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Solution

The third proportional to 332,741.25 and 516,186 is: 800,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,741.25 : 516,186 = 516,186 : x
  2. Step 2: Convert to fraction form
    332,741.25/516,186 = 516,186/x
  3. Step 3: Cross multiply
    332,741.25x = 516,186 × 516,186
  4. Step 4: Simplify right side
    332,741.25x = 266,447,986,596
  5. Step 5: Solve for x
    x = 266,447,986,596/332,741.25
  6. Step 6: Final answer
    x = 800,766.32

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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.