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Finding the Third Proportional to 250,058.81 and 547,548.19

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Solution

The third proportional to 250,058.81 and 547,548.19 is: 1,198,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,058.81 : 547,548.19 = 547,548.19 : x
  2. Step 2: Convert to fraction form
    250,058.81/547,548.19 = 547,548.19/x
  3. Step 3: Cross multiply
    250,058.81x = 547,548.19 × 547,548.19
  4. Step 4: Simplify right side
    250,058.81x = 299,809,017,634.54
  5. Step 5: Solve for x
    x = 299,809,017,634.54/250,058.81
  6. Step 6: Final answer
    x = 1,198,954.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.