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Finding the Third Proportional to 318,132.56 and 686,078.44

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Solution

The third proportional to 318,132.56 and 686,078.44 is: 1,479,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,132.56 : 686,078.44 = 686,078.44 : x
  2. Step 2: Convert to fraction form
    318,132.56/686,078.44 = 686,078.44/x
  3. Step 3: Cross multiply
    318,132.56x = 686,078.44 × 686,078.44
  4. Step 4: Simplify right side
    318,132.56x = 470,703,622,402.44
  5. Step 5: Solve for x
    x = 470,703,622,402.44/318,132.56
  6. Step 6: Final answer
    x = 1,479,583.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.