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Finding the Third Proportional to 307,832 and 472,844

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Solution

The third proportional to 307,832 and 472,844 is: 726,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,832 : 472,844 = 472,844 : x
  2. Step 2: Convert to fraction form
    307,832/472,844 = 472,844/x
  3. Step 3: Cross multiply
    307,832x = 472,844 × 472,844
  4. Step 4: Simplify right side
    307,832x = 223,581,448,336
  5. Step 5: Solve for x
    x = 223,581,448,336/307,832
  6. Step 6: Final answer
    x = 726,309.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.