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Finding the Third Proportional to 271,903.50 and 588,606.75

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Solution

The third proportional to 271,903.50 and 588,606.75 is: 1,274,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,903.50 : 588,606.75 = 588,606.75 : x
  2. Step 2: Convert to fraction form
    271,903.50/588,606.75 = 588,606.75/x
  3. Step 3: Cross multiply
    271,903.50x = 588,606.75 × 588,606.75
  4. Step 4: Simplify right side
    271,903.50x = 346,457,906,145.56
  5. Step 5: Solve for x
    x = 346,457,906,145.56/271,903.50
  6. Step 6: Final answer
    x = 1,274,194.36

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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.