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Finding the Third Proportional to 271,215 and 567,216

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Solution

The third proportional to 271,215 and 567,216 is: 1,186,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,215 : 567,216 = 567,216 : x
  2. Step 2: Convert to fraction form
    271,215/567,216 = 567,216/x
  3. Step 3: Cross multiply
    271,215x = 567,216 × 567,216
  4. Step 4: Simplify right side
    271,215x = 321,733,990,656
  5. Step 5: Solve for x
    x = 321,733,990,656/271,215
  6. Step 6: Final answer
    x = 1,186,269.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.