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Finding the Third Proportional to 407,713.50 and 869,757.75

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Solution

The third proportional to 407,713.50 and 869,757.75 is: 1,855,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,713.50 : 869,757.75 = 869,757.75 : x
  2. Step 2: Convert to fraction form
    407,713.50/869,757.75 = 869,757.75/x
  3. Step 3: Cross multiply
    407,713.50x = 869,757.75 × 869,757.75
  4. Step 4: Simplify right side
    407,713.50x = 756,478,543,685.06
  5. Step 5: Solve for x
    x = 756,478,543,685.06/407,713.50
  6. Step 6: Final answer
    x = 1,855,416.96

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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.