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Finding the Third Proportional to 271,871.44 and 583,108.88

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Solution

The third proportional to 271,871.44 and 583,108.88 is: 1,250,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,871.44 : 583,108.88 = 583,108.88 : x
  2. Step 2: Convert to fraction form
    271,871.44/583,108.88 = 583,108.88/x
  3. Step 3: Cross multiply
    271,871.44x = 583,108.88 × 583,108.88
  4. Step 4: Simplify right side
    271,871.44x = 340,015,960,103.77
  5. Step 5: Solve for x
    x = 340,015,960,103.77/271,871.44
  6. Step 6: Final answer
    x = 1,250,649.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.