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Finding the Third Proportional to 395,229.38 and 591,765.75

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Solution

The third proportional to 395,229.38 and 591,765.75 is: 886,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,229.38 : 591,765.75 = 591,765.75 : x
  2. Step 2: Convert to fraction form
    395,229.38/591,765.75 = 591,765.75/x
  3. Step 3: Cross multiply
    395,229.38x = 591,765.75 × 591,765.75
  4. Step 4: Simplify right side
    395,229.38x = 350,186,702,873.06
  5. Step 5: Solve for x
    x = 350,186,702,873.06/395,229.38
  6. Step 6: Final answer
    x = 886,034.10

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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.