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Finding the Third Proportional to 221,392.06 and 458,537.31

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Solution

The third proportional to 221,392.06 and 458,537.31 is: 949,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,392.06 : 458,537.31 = 458,537.31 : x
  2. Step 2: Convert to fraction form
    221,392.06/458,537.31 = 458,537.31/x
  3. Step 3: Cross multiply
    221,392.06x = 458,537.31 × 458,537.31
  4. Step 4: Simplify right side
    221,392.06x = 210,256,466,954.72
  5. Step 5: Solve for x
    x = 210,256,466,954.72/221,392.06
  6. Step 6: Final answer
    x = 949,701.92

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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.