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Finding the Third Proportional to 279,467 and 606,195

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Solution

The third proportional to 279,467 and 606,195 is: 1,314,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,467 : 606,195 = 606,195 : x
  2. Step 2: Convert to fraction form
    279,467/606,195 = 606,195/x
  3. Step 3: Cross multiply
    279,467x = 606,195 × 606,195
  4. Step 4: Simplify right side
    279,467x = 367,472,378,025
  5. Step 5: Solve for x
    x = 367,472,378,025/279,467
  6. Step 6: Final answer
    x = 1,314,904.36

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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.