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Finding the Third Proportional to 278,876.25 and 574,263

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Solution

The third proportional to 278,876.25 and 574,263 is: 1,182,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,876.25 : 574,263 = 574,263 : x
  2. Step 2: Convert to fraction form
    278,876.25/574,263 = 574,263/x
  3. Step 3: Cross multiply
    278,876.25x = 574,263 × 574,263
  4. Step 4: Simplify right side
    278,876.25x = 329,777,993,169
  5. Step 5: Solve for x
    x = 329,777,993,169/278,876.25
  6. Step 6: Final answer
    x = 1,182,524.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.