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Finding the Third Proportional to 542,744.50 and 810,016

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Solution

The third proportional to 542,744.50 and 810,016 is: 1,208,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,744.50 : 810,016 = 810,016 : x
  2. Step 2: Convert to fraction form
    542,744.50/810,016 = 810,016/x
  3. Step 3: Cross multiply
    542,744.50x = 810,016 × 810,016
  4. Step 4: Simplify right side
    542,744.50x = 656,125,920,256
  5. Step 5: Solve for x
    x = 656,125,920,256/542,744.50
  6. Step 6: Final answer
    x = 1,208,903.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.