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Finding the Third Proportional to 271,684.50 and 590,046.75

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Solution

The third proportional to 271,684.50 and 590,046.75 is: 1,281,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,684.50 : 590,046.75 = 590,046.75 : x
  2. Step 2: Convert to fraction form
    271,684.50/590,046.75 = 590,046.75/x
  3. Step 3: Cross multiply
    271,684.50x = 590,046.75 × 590,046.75
  4. Step 4: Simplify right side
    271,684.50x = 348,155,167,185.56
  5. Step 5: Solve for x
    x = 348,155,167,185.56/271,684.50
  6. Step 6: Final answer
    x = 1,281,468.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.