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Finding the Third Proportional to 279,460 and 395,051

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Solution

The third proportional to 279,460 and 395,051 is: 558,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,460 : 395,051 = 395,051 : x
  2. Step 2: Convert to fraction form
    279,460/395,051 = 395,051/x
  3. Step 3: Cross multiply
    279,460x = 395,051 × 395,051
  4. Step 4: Simplify right side
    279,460x = 156,065,292,601
  5. Step 5: Solve for x
    x = 156,065,292,601/279,460
  6. Step 6: Final answer
    x = 558,453.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.