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Finding the Third Proportional to 271,744.88 and 590,313.38

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Solution

The third proportional to 271,744.88 and 590,313.38 is: 1,282,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,744.88 : 590,313.38 = 590,313.38 : x
  2. Step 2: Convert to fraction form
    271,744.88/590,313.38 = 590,313.38/x
  3. Step 3: Cross multiply
    271,744.88x = 590,313.38 × 590,313.38
  4. Step 4: Simplify right side
    271,744.88x = 348,469,880,703.89
  5. Step 5: Solve for x
    x = 348,469,880,703.89/271,744.88
  6. Step 6: Final answer
    x = 1,282,342.05

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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.