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Finding the Third Proportional to 251,027.44 and 551,647.13

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Solution

The third proportional to 251,027.44 and 551,647.13 is: 1,212,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,027.44 : 551,647.13 = 551,647.13 : x
  2. Step 2: Convert to fraction form
    251,027.44/551,647.13 = 551,647.13/x
  3. Step 3: Cross multiply
    251,027.44x = 551,647.13 × 551,647.13
  4. Step 4: Simplify right side
    251,027.44x = 304,314,550,520.77
  5. Step 5: Solve for x
    x = 304,314,550,520.77/251,027.44
  6. Step 6: Final answer
    x = 1,212,276.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.