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Finding the Third Proportional to 381,916.69 and 573,832.69

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Solution

The third proportional to 381,916.69 and 573,832.69 is: 862,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,916.69 : 573,832.69 = 573,832.69 : x
  2. Step 2: Convert to fraction form
    381,916.69/573,832.69 = 573,832.69/x
  3. Step 3: Cross multiply
    381,916.69x = 573,832.69 × 573,832.69
  4. Step 4: Simplify right side
    381,916.69x = 329,283,953,243.47
  5. Step 5: Solve for x
    x = 329,283,953,243.47/381,916.69
  6. Step 6: Final answer
    x = 862,187.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.