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Finding the Third Proportional to 278,186 and 600,720

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Solution

The third proportional to 278,186 and 600,720 is: 1,297,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,186 : 600,720 = 600,720 : x
  2. Step 2: Convert to fraction form
    278,186/600,720 = 600,720/x
  3. Step 3: Cross multiply
    278,186x = 600,720 × 600,720
  4. Step 4: Simplify right side
    278,186x = 360,864,518,400
  5. Step 5: Solve for x
    x = 360,864,518,400/278,186
  6. Step 6: Final answer
    x = 1,297,205.89

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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.