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Finding the Third Proportional to 271,328 and 566,848

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Solution

The third proportional to 271,328 and 566,848 is: 1,184,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,328 : 566,848 = 566,848 : x
  2. Step 2: Convert to fraction form
    271,328/566,848 = 566,848/x
  3. Step 3: Cross multiply
    271,328x = 566,848 × 566,848
  4. Step 4: Simplify right side
    271,328x = 321,316,655,104
  5. Step 5: Solve for x
    x = 321,316,655,104/271,328
  6. Step 6: Final answer
    x = 1,184,236.99

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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.