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Finding the Third Proportional to 217,653.75 and 474,162.19

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Solution

The third proportional to 217,653.75 and 474,162.19 is: 1,032,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,653.75 : 474,162.19 = 474,162.19 : x
  2. Step 2: Convert to fraction form
    217,653.75/474,162.19 = 474,162.19/x
  3. Step 3: Cross multiply
    217,653.75x = 474,162.19 × 474,162.19
  4. Step 4: Simplify right side
    217,653.75x = 224,829,780,054.79
  5. Step 5: Solve for x
    x = 224,829,780,054.79/217,653.75
  6. Step 6: Final answer
    x = 1,032,969.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.