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Finding the Third Proportional to 219,437 and 472,174

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Solution

The third proportional to 219,437 and 472,174 is: 1,016,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,437 : 472,174 = 472,174 : x
  2. Step 2: Convert to fraction form
    219,437/472,174 = 472,174/x
  3. Step 3: Cross multiply
    219,437x = 472,174 × 472,174
  4. Step 4: Simplify right side
    219,437x = 222,948,286,276
  5. Step 5: Solve for x
    x = 222,948,286,276/219,437
  6. Step 6: Final answer
    x = 1,016,001.34

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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.