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Finding the Third Proportional to 219,441 and 472,182

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Solution

The third proportional to 219,441 and 472,182 is: 1,016,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,441 : 472,182 = 472,182 : x
  2. Step 2: Convert to fraction form
    219,441/472,182 = 472,182/x
  3. Step 3: Cross multiply
    219,441x = 472,182 × 472,182
  4. Step 4: Simplify right side
    219,441x = 222,955,841,124
  5. Step 5: Solve for x
    x = 222,955,841,124/219,441
  6. Step 6: Final answer
    x = 1,016,017.25

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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.