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Finding the Third Proportional to 271,471.50 and 596,115

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Solution

The third proportional to 271,471.50 and 596,115 is: 1,308,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,471.50 : 596,115 = 596,115 : x
  2. Step 2: Convert to fraction form
    271,471.50/596,115 = 596,115/x
  3. Step 3: Cross multiply
    271,471.50x = 596,115 × 596,115
  4. Step 4: Simplify right side
    271,471.50x = 355,353,093,225
  5. Step 5: Solve for x
    x = 355,353,093,225/271,471.50
  6. Step 6: Final answer
    x = 1,308,988.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.