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Finding the Third Proportional to 244,201.50 and 523,442.25

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Solution

The third proportional to 244,201.50 and 523,442.25 is: 1,121,990.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,201.50 : 523,442.25 = 523,442.25 : x
  2. Step 2: Convert to fraction form
    244,201.50/523,442.25 = 523,442.25/x
  3. Step 3: Cross multiply
    244,201.50x = 523,442.25 × 523,442.25
  4. Step 4: Simplify right side
    244,201.50x = 273,991,789,085.06
  5. Step 5: Solve for x
    x = 273,991,789,085.06/244,201.50
  6. Step 6: Final answer
    x = 1,121,990.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.