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Finding the Third Proportional to 244,885 and 378,410

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Solution

The third proportional to 244,885 and 378,410 is: 584,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,885 : 378,410 = 378,410 : x
  2. Step 2: Convert to fraction form
    244,885/378,410 = 378,410/x
  3. Step 3: Cross multiply
    244,885x = 378,410 × 378,410
  4. Step 4: Simplify right side
    244,885x = 143,194,128,100
  5. Step 5: Solve for x
    x = 143,194,128,100/244,885
  6. Step 6: Final answer
    x = 584,740.30

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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.