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Finding the Third Proportional to 395,242 and 591,778

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Solution

The third proportional to 395,242 and 591,778 is: 886,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,242 : 591,778 = 591,778 : x
  2. Step 2: Convert to fraction form
    395,242/591,778 = 591,778/x
  3. Step 3: Cross multiply
    395,242x = 591,778 × 591,778
  4. Step 4: Simplify right side
    395,242x = 350,201,201,284
  5. Step 5: Solve for x
    x = 350,201,201,284/395,242
  6. Step 6: Final answer
    x = 886,042.48

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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.