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Finding the Third Proportional to 526,241 and 794,098

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Solution

The third proportional to 526,241 and 794,098 is: 1,198,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,241 : 794,098 = 794,098 : x
  2. Step 2: Convert to fraction form
    526,241/794,098 = 794,098/x
  3. Step 3: Cross multiply
    526,241x = 794,098 × 794,098
  4. Step 4: Simplify right side
    526,241x = 630,591,633,604
  5. Step 5: Solve for x
    x = 630,591,633,604/526,241
  6. Step 6: Final answer
    x = 1,198,294.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.