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Finding the Third Proportional to 278,814 and 443,132

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Solution

The third proportional to 278,814 and 443,132 is: 704,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,814 : 443,132 = 443,132 : x
  2. Step 2: Convert to fraction form
    278,814/443,132 = 443,132/x
  3. Step 3: Cross multiply
    278,814x = 443,132 × 443,132
  4. Step 4: Simplify right side
    278,814x = 196,365,969,424
  5. Step 5: Solve for x
    x = 196,365,969,424/278,814
  6. Step 6: Final answer
    x = 704,290.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.