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Finding the Third Proportional to 271,322 and 590,859

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Solution

The third proportional to 271,322 and 590,859 is: 1,286,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,322 : 590,859 = 590,859 : x
  2. Step 2: Convert to fraction form
    271,322/590,859 = 590,859/x
  3. Step 3: Cross multiply
    271,322x = 590,859 × 590,859
  4. Step 4: Simplify right side
    271,322x = 349,114,357,881
  5. Step 5: Solve for x
    x = 349,114,357,881/271,322
  6. Step 6: Final answer
    x = 1,286,716.00

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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.