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Finding the Third Proportional to 204,677 and 440,458

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Solution

The third proportional to 204,677 and 440,458 is: 947,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,677 : 440,458 = 440,458 : x
  2. Step 2: Convert to fraction form
    204,677/440,458 = 440,458/x
  3. Step 3: Cross multiply
    204,677x = 440,458 × 440,458
  4. Step 4: Simplify right side
    204,677x = 194,003,249,764
  5. Step 5: Solve for x
    x = 194,003,249,764/204,677
  6. Step 6: Final answer
    x = 947,850.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.