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Finding the Third Proportional to 219,444.75 and 472,189.50

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Solution

The third proportional to 219,444.75 and 472,189.50 is: 1,016,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,444.75 : 472,189.50 = 472,189.50 : x
  2. Step 2: Convert to fraction form
    219,444.75/472,189.50 = 472,189.50/x
  3. Step 3: Cross multiply
    219,444.75x = 472,189.50 × 472,189.50
  4. Step 4: Simplify right side
    219,444.75x = 222,962,923,910.25
  5. Step 5: Solve for x
    x = 222,962,923,910.25/219,444.75
  6. Step 6: Final answer
    x = 1,016,032.16

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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.