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Finding the Third Proportional to 584,475.75 and 878,428.13

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Solution

The third proportional to 584,475.75 and 878,428.13 is: 1,320,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,475.75 : 878,428.13 = 878,428.13 : x
  2. Step 2: Convert to fraction form
    584,475.75/878,428.13 = 878,428.13/x
  3. Step 3: Cross multiply
    584,475.75x = 878,428.13 × 878,428.13
  4. Step 4: Simplify right side
    584,475.75x = 771,635,970,791.02
  5. Step 5: Solve for x
    x = 771,635,970,791.02/584,475.75
  6. Step 6: Final answer
    x = 1,320,218.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.