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Finding the Third Proportional to 383,950.13 and 516,876.19

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Solution

The third proportional to 383,950.13 and 516,876.19 is: 695,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,950.13 : 516,876.19 = 516,876.19 : x
  2. Step 2: Convert to fraction form
    383,950.13/516,876.19 = 516,876.19/x
  3. Step 3: Cross multiply
    383,950.13x = 516,876.19 × 516,876.19
  4. Step 4: Simplify right side
    383,950.13x = 267,160,993,204.54
  5. Step 5: Solve for x
    x = 267,160,993,204.54/383,950.13
  6. Step 6: Final answer
    x = 695,822.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.