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Finding the Third Proportional to 408,181.50 and 633,588.75

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Solution

The third proportional to 408,181.50 and 633,588.75 is: 983,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,181.50 : 633,588.75 = 633,588.75 : x
  2. Step 2: Convert to fraction form
    408,181.50/633,588.75 = 633,588.75/x
  3. Step 3: Cross multiply
    408,181.50x = 633,588.75 × 633,588.75
  4. Step 4: Simplify right side
    408,181.50x = 401,434,704,126.56
  5. Step 5: Solve for x
    x = 401,434,704,126.56/408,181.50
  6. Step 6: Final answer
    x = 983,471.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.