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Finding the Third Proportional to 278,166 and 600,678

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Solution

The third proportional to 278,166 and 600,678 is: 1,297,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,166 : 600,678 = 600,678 : x
  2. Step 2: Convert to fraction form
    278,166/600,678 = 600,678/x
  3. Step 3: Cross multiply
    278,166x = 600,678 × 600,678
  4. Step 4: Simplify right side
    278,166x = 360,814,059,684
  5. Step 5: Solve for x
    x = 360,814,059,684/278,166
  6. Step 6: Final answer
    x = 1,297,117.76

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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.