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Finding the Third Proportional to 395,240 and 591,775

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Solution

The third proportional to 395,240 and 591,775 is: 886,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,240 : 591,775 = 591,775 : x
  2. Step 2: Convert to fraction form
    395,240/591,775 = 591,775/x
  3. Step 3: Cross multiply
    395,240x = 591,775 × 591,775
  4. Step 4: Simplify right side
    395,240x = 350,197,650,625
  5. Step 5: Solve for x
    x = 350,197,650,625/395,240
  6. Step 6: Final answer
    x = 886,037.98

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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.