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Finding the Third Proportional to 407,278.13 and 877,672.13

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Solution

The third proportional to 407,278.13 and 877,672.13 is: 1,891,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,278.13 : 877,672.13 = 877,672.13 : x
  2. Step 2: Convert to fraction form
    407,278.13/877,672.13 = 877,672.13/x
  3. Step 3: Cross multiply
    407,278.13x = 877,672.13 × 877,672.13
  4. Step 4: Simplify right side
    407,278.13x = 770,308,359,002.02
  5. Step 5: Solve for x
    x = 770,308,359,002.02/407,278.13
  6. Step 6: Final answer
    x = 1,891,357.06

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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.