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Finding the Third Proportional to 217,048 and 465,245

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Solution

The third proportional to 217,048 and 465,245 is: 997,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,048 : 465,245 = 465,245 : x
  2. Step 2: Convert to fraction form
    217,048/465,245 = 465,245/x
  3. Step 3: Cross multiply
    217,048x = 465,245 × 465,245
  4. Step 4: Simplify right side
    217,048x = 216,452,910,025
  5. Step 5: Solve for x
    x = 216,452,910,025/217,048
  6. Step 6: Final answer
    x = 997,258.26

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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.