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Finding the Third Proportional to 244,860 and 378,360

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Solution

The third proportional to 244,860 and 378,360 is: 584,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,860 : 378,360 = 378,360 : x
  2. Step 2: Convert to fraction form
    244,860/378,360 = 378,360/x
  3. Step 3: Cross multiply
    244,860x = 378,360 × 378,360
  4. Step 4: Simplify right side
    244,860x = 143,156,289,600
  5. Step 5: Solve for x
    x = 143,156,289,600/244,860
  6. Step 6: Final answer
    x = 584,645.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.