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Finding the Third Proportional to 271,365 and 567,489

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Solution

The third proportional to 271,365 and 567,489 is: 1,186,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,365 : 567,489 = 567,489 : x
  2. Step 2: Convert to fraction form
    271,365/567,489 = 567,489/x
  3. Step 3: Cross multiply
    271,365x = 567,489 × 567,489
  4. Step 4: Simplify right side
    271,365x = 322,043,765,121
  5. Step 5: Solve for x
    x = 322,043,765,121/271,365
  6. Step 6: Final answer
    x = 1,186,754.98

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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.