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Finding the Third Proportional to 244,782 and 366,039

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Solution

The third proportional to 244,782 and 366,039 is: 547,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,782 : 366,039 = 366,039 : x
  2. Step 2: Convert to fraction form
    244,782/366,039 = 366,039/x
  3. Step 3: Cross multiply
    244,782x = 366,039 × 366,039
  4. Step 4: Simplify right side
    244,782x = 133,984,549,521
  5. Step 5: Solve for x
    x = 133,984,549,521/244,782
  6. Step 6: Final answer
    x = 547,362.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.