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Finding the Third Proportional to 542,166 and 813,249

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Solution

The third proportional to 542,166 and 813,249 is: 1,219,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,166 : 813,249 = 813,249 : x
  2. Step 2: Convert to fraction form
    542,166/813,249 = 813,249/x
  3. Step 3: Cross multiply
    542,166x = 813,249 × 813,249
  4. Step 4: Simplify right side
    542,166x = 661,373,936,001
  5. Step 5: Solve for x
    x = 661,373,936,001/542,166
  6. Step 6: Final answer
    x = 1,219,873.50

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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.