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Finding the Third Proportional to 224,118 and 485,595

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Solution

The third proportional to 224,118 and 485,595 is: 1,052,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,118 : 485,595 = 485,595 : x
  2. Step 2: Convert to fraction form
    224,118/485,595 = 485,595/x
  3. Step 3: Cross multiply
    224,118x = 485,595 × 485,595
  4. Step 4: Simplify right side
    224,118x = 235,802,504,025
  5. Step 5: Solve for x
    x = 235,802,504,025/224,118
  6. Step 6: Final answer
    x = 1,052,135.50

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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.