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Finding the Third Proportional to 278,966 and 610,096

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Solution

The third proportional to 278,966 and 610,096 is: 1,334,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,966 : 610,096 = 610,096 : x
  2. Step 2: Convert to fraction form
    278,966/610,096 = 610,096/x
  3. Step 3: Cross multiply
    278,966x = 610,096 × 610,096
  4. Step 4: Simplify right side
    278,966x = 372,217,129,216
  5. Step 5: Solve for x
    x = 372,217,129,216/278,966
  6. Step 6: Final answer
    x = 1,334,274.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.