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Finding the Third Proportional to 395,294 and 591,860

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Solution

The third proportional to 395,294 and 591,860 is: 886,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,294 : 591,860 = 591,860 : x
  2. Step 2: Convert to fraction form
    395,294/591,860 = 591,860/x
  3. Step 3: Cross multiply
    395,294x = 591,860 × 591,860
  4. Step 4: Simplify right side
    395,294x = 350,298,259,600
  5. Step 5: Solve for x
    x = 350,298,259,600/395,294
  6. Step 6: Final answer
    x = 886,171.46

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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.