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Finding the Third Proportional to 221,391.88 and 458,537.13

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Solution

The third proportional to 221,391.88 and 458,537.13 is: 949,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,391.88 : 458,537.13 = 458,537.13 : x
  2. Step 2: Convert to fraction form
    221,391.88/458,537.13 = 458,537.13/x
  3. Step 3: Cross multiply
    221,391.88x = 458,537.13 × 458,537.13
  4. Step 4: Simplify right side
    221,391.88x = 210,256,295,003.27
  5. Step 5: Solve for x
    x = 210,256,295,003.27/221,391.88
  6. Step 6: Final answer
    x = 949,701.95

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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.