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Finding the Third Proportional to 278,886 and 418,964

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Solution

The third proportional to 278,886 and 418,964 is: 629,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,886 : 418,964 = 418,964 : x
  2. Step 2: Convert to fraction form
    278,886/418,964 = 418,964/x
  3. Step 3: Cross multiply
    278,886x = 418,964 × 418,964
  4. Step 4: Simplify right side
    278,886x = 175,530,833,296
  5. Step 5: Solve for x
    x = 175,530,833,296/278,886
  6. Step 6: Final answer
    x = 629,399.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.