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Finding the Third Proportional to 313,876 and 686,034

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Solution

The third proportional to 313,876 and 686,034 is: 1,499,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,876 : 686,034 = 686,034 : x
  2. Step 2: Convert to fraction form
    313,876/686,034 = 686,034/x
  3. Step 3: Cross multiply
    313,876x = 686,034 × 686,034
  4. Step 4: Simplify right side
    313,876x = 470,642,649,156
  5. Step 5: Solve for x
    x = 470,642,649,156/313,876
  6. Step 6: Final answer
    x = 1,499,454.08

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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.