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Finding the Third Proportional to 307,805 and 472,805

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Solution

The third proportional to 307,805 and 472,805 is: 726,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,805 : 472,805 = 472,805 : x
  2. Step 2: Convert to fraction form
    307,805/472,805 = 472,805/x
  3. Step 3: Cross multiply
    307,805x = 472,805 × 472,805
  4. Step 4: Simplify right side
    307,805x = 223,544,568,025
  5. Step 5: Solve for x
    x = 223,544,568,025/307,805
  6. Step 6: Final answer
    x = 726,253.86

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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.