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Finding the Third Proportional to 279,466 and 606,192

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Solution

The third proportional to 279,466 and 606,192 is: 1,314,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,466 : 606,192 = 606,192 : x
  2. Step 2: Convert to fraction form
    279,466/606,192 = 606,192/x
  3. Step 3: Cross multiply
    279,466x = 606,192 × 606,192
  4. Step 4: Simplify right side
    279,466x = 367,468,740,864
  5. Step 5: Solve for x
    x = 367,468,740,864/279,466
  6. Step 6: Final answer
    x = 1,314,896.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.