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Finding the Third Proportional to 219,713 and 472,546

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Solution

The third proportional to 219,713 and 472,546 is: 1,016,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,713 : 472,546 = 472,546 : x
  2. Step 2: Convert to fraction form
    219,713/472,546 = 472,546/x
  3. Step 3: Cross multiply
    219,713x = 472,546 × 472,546
  4. Step 4: Simplify right side
    219,713x = 223,299,722,116
  5. Step 5: Solve for x
    x = 223,299,722,116/219,713
  6. Step 6: Final answer
    x = 1,016,324.58

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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.