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Finding the Third Proportional to 361,444 and 542,166

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Solution

The third proportional to 361,444 and 542,166 is: 813,249

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,444 : 542,166 = 542,166 : x
  2. Step 2: Convert to fraction form
    361,444/542,166 = 542,166/x
  3. Step 3: Cross multiply
    361,444x = 542,166 × 542,166
  4. Step 4: Simplify right side
    361,444x = 293,943,971,556
  5. Step 5: Solve for x
    x = 293,943,971,556/361,444
  6. Step 6: Final answer
    x = 813,249

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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.