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Finding the Third Proportional to 219,381.75 and 474,744.38

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Solution

The third proportional to 219,381.75 and 474,744.38 is: 1,027,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,381.75 : 474,744.38 = 474,744.38 : x
  2. Step 2: Convert to fraction form
    219,381.75/474,744.38 = 474,744.38/x
  3. Step 3: Cross multiply
    219,381.75x = 474,744.38 × 474,744.38
  4. Step 4: Simplify right side
    219,381.75x = 225,382,221,594.14
  5. Step 5: Solve for x
    x = 225,382,221,594.14/219,381.75
  6. Step 6: Final answer
    x = 1,027,351.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.