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Finding the Third Proportional to 382,727 and 547,846

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Solution

The third proportional to 382,727 and 547,846 is: 784,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,727 : 547,846 = 547,846 : x
  2. Step 2: Convert to fraction form
    382,727/547,846 = 547,846/x
  3. Step 3: Cross multiply
    382,727x = 547,846 × 547,846
  4. Step 4: Simplify right side
    382,727x = 300,135,239,716
  5. Step 5: Solve for x
    x = 300,135,239,716/382,727
  6. Step 6: Final answer
    x = 784,201.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.