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Finding the Third Proportional to 395,235 and 591,771

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Solution

The third proportional to 395,235 and 591,771 is: 886,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,235 : 591,771 = 591,771 : x
  2. Step 2: Convert to fraction form
    395,235/591,771 = 591,771/x
  3. Step 3: Cross multiply
    395,235x = 591,771 × 591,771
  4. Step 4: Simplify right side
    395,235x = 350,192,916,441
  5. Step 5: Solve for x
    x = 350,192,916,441/395,235
  6. Step 6: Final answer
    x = 886,037.21

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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.