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Finding the Third Proportional to 278,310 and 595,974

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Solution

The third proportional to 278,310 and 595,974 is: 1,276,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,310 : 595,974 = 595,974 : x
  2. Step 2: Convert to fraction form
    278,310/595,974 = 595,974/x
  3. Step 3: Cross multiply
    278,310x = 595,974 × 595,974
  4. Step 4: Simplify right side
    278,310x = 355,185,008,676
  5. Step 5: Solve for x
    x = 355,185,008,676/278,310
  6. Step 6: Final answer
    x = 1,276,220.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.