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Finding the Third Proportional to 551,146.50 and 1,181,024.25

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Solution

The third proportional to 551,146.50 and 1,181,024.25 is: 2,530,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,146.50 : 1,181,024.25 = 1,181,024.25 : x
  2. Step 2: Convert to fraction form
    551,146.50/1,181,024.25 = 1,181,024.25/x
  3. Step 3: Cross multiply
    551,146.50x = 1,181,024.25 × 1,181,024.25
  4. Step 4: Simplify right side
    551,146.50x = 1,394,818,279,088.06
  5. Step 5: Solve for x
    x = 1,394,818,279,088.06/551,146.50
  6. Step 6: Final answer
    x = 2,530,757.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.