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Finding the Third Proportional to 278,154 and 600,651

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Solution

The third proportional to 278,154 and 600,651 is: 1,297,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,154 : 600,651 = 600,651 : x
  2. Step 2: Convert to fraction form
    278,154/600,651 = 600,651/x
  3. Step 3: Cross multiply
    278,154x = 600,651 × 600,651
  4. Step 4: Simplify right side
    278,154x = 360,781,623,801
  5. Step 5: Solve for x
    x = 360,781,623,801/278,154
  6. Step 6: Final answer
    x = 1,297,057.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.