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Finding the Third Proportional to 271,203.94 and 583,224.19

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Solution

The third proportional to 271,203.94 and 583,224.19 is: 1,254,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,203.94 : 583,224.19 = 583,224.19 : x
  2. Step 2: Convert to fraction form
    271,203.94/583,224.19 = 583,224.19/x
  3. Step 3: Cross multiply
    271,203.94x = 583,224.19 × 583,224.19
  4. Step 4: Simplify right side
    271,203.94x = 340,150,452,885.04
  5. Step 5: Solve for x
    x = 340,150,452,885.04/271,203.94
  6. Step 6: Final answer
    x = 1,254,223.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.