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Finding the Third Proportional to 313,874 and 686,036

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Solution

The third proportional to 313,874 and 686,036 is: 1,499,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,874 : 686,036 = 686,036 : x
  2. Step 2: Convert to fraction form
    313,874/686,036 = 686,036/x
  3. Step 3: Cross multiply
    313,874x = 686,036 × 686,036
  4. Step 4: Simplify right side
    313,874x = 470,645,393,296
  5. Step 5: Solve for x
    x = 470,645,393,296/313,874
  6. Step 6: Final answer
    x = 1,499,472.38

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Why These Related Problems?

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