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Finding the Third Proportional to 244,144.50 and 534,837

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Solution

The third proportional to 244,144.50 and 534,837 is: 1,171,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,144.50 : 534,837 = 534,837 : x
  2. Step 2: Convert to fraction form
    244,144.50/534,837 = 534,837/x
  3. Step 3: Cross multiply
    244,144.50x = 534,837 × 534,837
  4. Step 4: Simplify right side
    244,144.50x = 286,050,616,569
  5. Step 5: Solve for x
    x = 286,050,616,569/244,144.50
  6. Step 6: Final answer
    x = 1,171,644.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.