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Finding the Third Proportional to 279,464 and 395,058

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Solution

The third proportional to 279,464 and 395,058 is: 558,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,464 : 395,058 = 395,058 : x
  2. Step 2: Convert to fraction form
    279,464/395,058 = 395,058/x
  3. Step 3: Cross multiply
    279,464x = 395,058 × 395,058
  4. Step 4: Simplify right side
    279,464x = 156,070,823,364
  5. Step 5: Solve for x
    x = 156,070,823,364/279,464
  6. Step 6: Final answer
    x = 558,464.86

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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.