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Finding the Third Proportional to 219,447 and 472,194

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Solution

The third proportional to 219,447 and 472,194 is: 1,016,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,447 : 472,194 = 472,194 : x
  2. Step 2: Convert to fraction form
    219,447/472,194 = 472,194/x
  3. Step 3: Cross multiply
    219,447x = 472,194 × 472,194
  4. Step 4: Simplify right side
    219,447x = 222,967,173,636
  5. Step 5: Solve for x
    x = 222,967,173,636/219,447
  6. Step 6: Final answer
    x = 1,016,041.11

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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.