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Finding the Third Proportional to 271,018.41 and 583,660.69

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Solution

The third proportional to 271,018.41 and 583,660.69 is: 1,256,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,018.41 : 583,660.69 = 583,660.69 : x
  2. Step 2: Convert to fraction form
    271,018.41/583,660.69 = 583,660.69/x
  3. Step 3: Cross multiply
    271,018.41x = 583,660.69 × 583,660.69
  4. Step 4: Simplify right side
    271,018.41x = 340,659,798,132.97
  5. Step 5: Solve for x
    x = 340,659,798,132.97/271,018.41
  6. Step 6: Final answer
    x = 1,256,961.85

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Why These Related Problems?

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