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Finding the Third Proportional to 215,478 and 472,104

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Solution

The third proportional to 215,478 and 472,104 is: 1,034,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,478 : 472,104 = 472,104 : x
  2. Step 2: Convert to fraction form
    215,478/472,104 = 472,104/x
  3. Step 3: Cross multiply
    215,478x = 472,104 × 472,104
  4. Step 4: Simplify right side
    215,478x = 222,882,186,816
  5. Step 5: Solve for x
    x = 222,882,186,816/215,478
  6. Step 6: Final answer
    x = 1,034,361.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.