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Finding the Third Proportional to 278,524 and 571,796

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Solution

The third proportional to 278,524 and 571,796 is: 1,173,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,524 : 571,796 = 571,796 : x
  2. Step 2: Convert to fraction form
    278,524/571,796 = 571,796/x
  3. Step 3: Cross multiply
    278,524x = 571,796 × 571,796
  4. Step 4: Simplify right side
    278,524x = 326,950,665,616
  5. Step 5: Solve for x
    x = 326,950,665,616/278,524
  6. Step 6: Final answer
    x = 1,173,868.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.