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Finding the Third Proportional to 271,671.75 and 593,826.75

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Solution

The third proportional to 271,671.75 and 593,826.75 is: 1,298,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,671.75 : 593,826.75 = 593,826.75 : x
  2. Step 2: Convert to fraction form
    271,671.75/593,826.75 = 593,826.75/x
  3. Step 3: Cross multiply
    271,671.75x = 593,826.75 × 593,826.75
  4. Step 4: Simplify right side
    271,671.75x = 352,630,209,015.56
  5. Step 5: Solve for x
    x = 352,630,209,015.56/271,671.75
  6. Step 6: Final answer
    x = 1,298,001.02

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Why These Related Problems?

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