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Finding the Third Proportional to 408,921.75 and 620,740.13

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Solution

The third proportional to 408,921.75 and 620,740.13 is: 942,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,921.75 : 620,740.13 = 620,740.13 : x
  2. Step 2: Convert to fraction form
    408,921.75/620,740.13 = 620,740.13/x
  3. Step 3: Cross multiply
    408,921.75x = 620,740.13 × 620,740.13
  4. Step 4: Simplify right side
    408,921.75x = 385,318,302,785.02
  5. Step 5: Solve for x
    x = 385,318,302,785.02/408,921.75
  6. Step 6: Final answer
    x = 942,278.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.