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Finding the Third Proportional to 344.88 and 814.06

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Solution

The third proportional to 344.88 and 814.06 is: 1,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.88 : 814.06 = 814.06 : x
  2. Step 2: Convert to fraction form
    344.88/814.06 = 814.06/x
  3. Step 3: Cross multiply
    344.88x = 814.06 × 814.06
  4. Step 4: Simplify right side
    344.88x = 662,697.75
  5. Step 5: Solve for x
    x = 662,697.75/344.88
  6. Step 6: Final answer
    x = 1,921.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.