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Finding the Third Proportional to 499.94 and 591.06

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Solution

The third proportional to 499.94 and 591.06 is: 698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.94 : 591.06 = 591.06 : x
  2. Step 2: Convert to fraction form
    499.94/591.06 = 591.06/x
  3. Step 3: Cross multiply
    499.94x = 591.06 × 591.06
  4. Step 4: Simplify right side
    499.94x = 349,354.88
  5. Step 5: Solve for x
    x = 349,354.88/499.94
  6. Step 6: Final answer
    x = 698.80

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.