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Finding the Third Proportional to 463,643.25 and 988,524.75

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Solution

The third proportional to 463,643.25 and 988,524.75 is: 2,107,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,643.25 : 988,524.75 = 988,524.75 : x
  2. Step 2: Convert to fraction form
    463,643.25/988,524.75 = 988,524.75/x
  3. Step 3: Cross multiply
    463,643.25x = 988,524.75 × 988,524.75
  4. Step 4: Simplify right side
    463,643.25x = 977,181,181,362.56
  5. Step 5: Solve for x
    x = 977,181,181,362.56/463,643.25
  6. Step 6: Final answer
    x = 2,107,614.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.