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Finding the Third Proportional to 381,768.19 and 567,116.44

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Solution

The third proportional to 381,768.19 and 567,116.44 is: 842,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,768.19 : 567,116.44 = 567,116.44 : x
  2. Step 2: Convert to fraction form
    381,768.19/567,116.44 = 567,116.44/x
  3. Step 3: Cross multiply
    381,768.19x = 567,116.44 × 567,116.44
  4. Step 4: Simplify right side
    381,768.19x = 321,621,053,682.69
  5. Step 5: Solve for x
    x = 321,621,053,682.69/381,768.19
  6. Step 6: Final answer
    x = 842,451.16

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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.