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Finding the Third Proportional to 409,335.75 and 880,233.75

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Solution

The third proportional to 409,335.75 and 880,233.75 is: 1,892,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,335.75 : 880,233.75 = 880,233.75 : x
  2. Step 2: Convert to fraction form
    409,335.75/880,233.75 = 880,233.75/x
  3. Step 3: Cross multiply
    409,335.75x = 880,233.75 × 880,233.75
  4. Step 4: Simplify right side
    409,335.75x = 774,811,454,639.06
  5. Step 5: Solve for x
    x = 774,811,454,639.06/409,335.75
  6. Step 6: Final answer
    x = 1,892,850.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.