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Finding the Third Proportional to 271,842.75 and 590,402.25

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Solution

The third proportional to 271,842.75 and 590,402.25 is: 1,282,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,842.75 : 590,402.25 = 590,402.25 : x
  2. Step 2: Convert to fraction form
    271,842.75/590,402.25 = 590,402.25/x
  3. Step 3: Cross multiply
    271,842.75x = 590,402.25 × 590,402.25
  4. Step 4: Simplify right side
    271,842.75x = 348,574,816,805.06
  5. Step 5: Solve for x
    x = 348,574,816,805.06/271,842.75
  6. Step 6: Final answer
    x = 1,282,266.37

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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.