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Finding the Third Proportional to 334,204 and 695,948

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Solution

The third proportional to 334,204 and 695,948 is: 1,449,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,204 : 695,948 = 695,948 : x
  2. Step 2: Convert to fraction form
    334,204/695,948 = 695,948/x
  3. Step 3: Cross multiply
    334,204x = 695,948 × 695,948
  4. Step 4: Simplify right side
    334,204x = 484,343,618,704
  5. Step 5: Solve for x
    x = 484,343,618,704/334,204
  6. Step 6: Final answer
    x = 1,449,245.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.