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Finding the Third Proportional to 321,366 and 472,104

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Solution

The third proportional to 321,366 and 472,104 is: 693,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,366 : 472,104 = 472,104 : x
  2. Step 2: Convert to fraction form
    321,366/472,104 = 472,104/x
  3. Step 3: Cross multiply
    321,366x = 472,104 × 472,104
  4. Step 4: Simplify right side
    321,366x = 222,882,186,816
  5. Step 5: Solve for x
    x = 222,882,186,816/321,366
  6. Step 6: Final answer
    x = 693,546.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.