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Finding the Third Proportional to 318,151.97 and 686,126.53

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Solution

The third proportional to 318,151.97 and 686,126.53 is: 1,479,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,151.97 : 686,126.53 = 686,126.53 : x
  2. Step 2: Convert to fraction form
    318,151.97/686,126.53 = 686,126.53/x
  3. Step 3: Cross multiply
    318,151.97x = 686,126.53 × 686,126.53
  4. Step 4: Simplify right side
    318,151.97x = 470,769,616,885.16
  5. Step 5: Solve for x
    x = 470,769,616,885.16/318,151.97
  6. Step 6: Final answer
    x = 1,479,700.47

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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.