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Finding the Third Proportional to 217,725.75 and 464,976

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Solution

The third proportional to 217,725.75 and 464,976 is: 993,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,725.75 : 464,976 = 464,976 : x
  2. Step 2: Convert to fraction form
    217,725.75/464,976 = 464,976/x
  3. Step 3: Cross multiply
    217,725.75x = 464,976 × 464,976
  4. Step 4: Simplify right side
    217,725.75x = 216,202,680,576
  5. Step 5: Solve for x
    x = 216,202,680,576/217,725.75
  6. Step 6: Final answer
    x = 993,004.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.