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Finding the Third Proportional to 219,158 and 471,608

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Solution

The third proportional to 219,158 and 471,608 is: 1,014,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,158 : 471,608 = 471,608 : x
  2. Step 2: Convert to fraction form
    219,158/471,608 = 471,608/x
  3. Step 3: Cross multiply
    219,158x = 471,608 × 471,608
  4. Step 4: Simplify right side
    219,158x = 222,414,105,664
  5. Step 5: Solve for x
    x = 222,414,105,664/219,158
  6. Step 6: Final answer
    x = 1,014,857.34

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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.