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Finding the Third Proportional to 219,744 and 472,608

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Solution

The third proportional to 219,744 and 472,608 is: 1,016,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,744 : 472,608 = 472,608 : x
  2. Step 2: Convert to fraction form
    219,744/472,608 = 472,608/x
  3. Step 3: Cross multiply
    219,744x = 472,608 × 472,608
  4. Step 4: Simplify right side
    219,744x = 223,358,321,664
  5. Step 5: Solve for x
    x = 223,358,321,664/219,744
  6. Step 6: Final answer
    x = 1,016,447.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.