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Finding the Third Proportional to 244,002 and 364,569

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Solution

The third proportional to 244,002 and 364,569 is: 544,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,002 : 364,569 = 364,569 : x
  2. Step 2: Convert to fraction form
    244,002/364,569 = 364,569/x
  3. Step 3: Cross multiply
    244,002x = 364,569 × 364,569
  4. Step 4: Simplify right side
    244,002x = 132,910,555,761
  5. Step 5: Solve for x
    x = 132,910,555,761/244,002
  6. Step 6: Final answer
    x = 544,710.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.