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Finding the Third Proportional to 244,888 and 378,414

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Solution

The third proportional to 244,888 and 378,414 is: 584,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,888 : 378,414 = 378,414 : x
  2. Step 2: Convert to fraction form
    244,888/378,414 = 378,414/x
  3. Step 3: Cross multiply
    244,888x = 378,414 × 378,414
  4. Step 4: Simplify right side
    244,888x = 143,197,155,396
  5. Step 5: Solve for x
    x = 143,197,155,396/244,888
  6. Step 6: Final answer
    x = 584,745.50

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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.