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Finding the Third Proportional to 278,306 and 595,966

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Solution

The third proportional to 278,306 and 595,966 is: 1,276,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,306 : 595,966 = 595,966 : x
  2. Step 2: Convert to fraction form
    278,306/595,966 = 595,966/x
  3. Step 3: Cross multiply
    278,306x = 595,966 × 595,966
  4. Step 4: Simplify right side
    278,306x = 355,175,473,156
  5. Step 5: Solve for x
    x = 355,175,473,156/278,306
  6. Step 6: Final answer
    x = 1,276,204.87

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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.