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Finding the Third Proportional to 318,149.44 and 686,113.88

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Solution

The third proportional to 318,149.44 and 686,113.88 is: 1,479,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,149.44 : 686,113.88 = 686,113.88 : x
  2. Step 2: Convert to fraction form
    318,149.44/686,113.88 = 686,113.88/x
  3. Step 3: Cross multiply
    318,149.44x = 686,113.88 × 686,113.88
  4. Step 4: Simplify right side
    318,149.44x = 470,752,249,467.52
  5. Step 5: Solve for x
    x = 470,752,249,467.52/318,149.44
  6. Step 6: Final answer
    x = 1,479,657.65

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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.