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Finding the Third Proportional to 271,825.88 and 588,451.08

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Solution

The third proportional to 271,825.88 and 588,451.08 is: 1,273,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,825.88 : 588,451.08 = 588,451.08 : x
  2. Step 2: Convert to fraction form
    271,825.88/588,451.08 = 588,451.08/x
  3. Step 3: Cross multiply
    271,825.88x = 588,451.08 × 588,451.08
  4. Step 4: Simplify right side
    271,825.88x = 346,274,671,346.48
  5. Step 5: Solve for x
    x = 346,274,671,346.48/271,825.88
  6. Step 6: Final answer
    x = 1,273,884.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.