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Finding the Third Proportional to 217,452.75 and 449,822.25

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Solution

The third proportional to 217,452.75 and 449,822.25 is: 930,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,452.75 : 449,822.25 = 449,822.25 : x
  2. Step 2: Convert to fraction form
    217,452.75/449,822.25 = 449,822.25/x
  3. Step 3: Cross multiply
    217,452.75x = 449,822.25 × 449,822.25
  4. Step 4: Simplify right side
    217,452.75x = 202,340,056,595.06
  5. Step 5: Solve for x
    x = 202,340,056,595.06/217,452.75
  6. Step 6: Final answer
    x = 930,501.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.