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Finding the Third Proportional to 313,149.38 and 686,147.63

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Solution

The third proportional to 313,149.38 and 686,147.63 is: 1,503,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,149.38 : 686,147.63 = 686,147.63 : x
  2. Step 2: Convert to fraction form
    313,149.38/686,147.63 = 686,147.63/x
  3. Step 3: Cross multiply
    313,149.38x = 686,147.63 × 686,147.63
  4. Step 4: Simplify right side
    313,149.38x = 470,798,563,293.14
  5. Step 5: Solve for x
    x = 470,798,563,293.14/313,149.38
  6. Step 6: Final answer
    x = 1,503,431.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.