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Finding the Third Proportional to 381,837.94 and 566,148.38

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Solution

The third proportional to 381,837.94 and 566,148.38 is: 839,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,837.94 : 566,148.38 = 566,148.38 : x
  2. Step 2: Convert to fraction form
    381,837.94/566,148.38 = 566,148.38/x
  3. Step 3: Cross multiply
    381,837.94x = 566,148.38 × 566,148.38
  4. Step 4: Simplify right side
    381,837.94x = 320,523,982,515.14
  5. Step 5: Solve for x
    x = 320,523,982,515.14/381,837.94
  6. Step 6: Final answer
    x = 839,424.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.