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Finding the Third Proportional to 279,012 and 610,188

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Solution

The third proportional to 279,012 and 610,188 is: 1,334,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,012 : 610,188 = 610,188 : x
  2. Step 2: Convert to fraction form
    279,012/610,188 = 610,188/x
  3. Step 3: Cross multiply
    279,012x = 610,188 × 610,188
  4. Step 4: Simplify right side
    279,012x = 372,329,395,344
  5. Step 5: Solve for x
    x = 372,329,395,344/279,012
  6. Step 6: Final answer
    x = 1,334,456.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.