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Finding the Third Proportional to 409,302.56 and 861,019.88

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Solution

The third proportional to 409,302.56 and 861,019.88 is: 1,811,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,302.56 : 861,019.88 = 861,019.88 : x
  2. Step 2: Convert to fraction form
    409,302.56/861,019.88 = 861,019.88/x
  3. Step 3: Cross multiply
    409,302.56x = 861,019.88 × 861,019.88
  4. Step 4: Simplify right side
    409,302.56x = 741,355,225,145.02
  5. Step 5: Solve for x
    x = 741,355,225,145.02/409,302.56
  6. Step 6: Final answer
    x = 1,811,264.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.