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Finding the Third Proportional to 271,284 and 591,156

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Solution

The third proportional to 271,284 and 591,156 is: 1,288,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,284 : 591,156 = 591,156 : x
  2. Step 2: Convert to fraction form
    271,284/591,156 = 591,156/x
  3. Step 3: Cross multiply
    271,284x = 591,156 × 591,156
  4. Step 4: Simplify right side
    271,284x = 349,465,416,336
  5. Step 5: Solve for x
    x = 349,465,416,336/271,284
  6. Step 6: Final answer
    x = 1,288,190.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.