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Finding the Third Proportional to 495.75 and 697.13

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Solution

The third proportional to 495.75 and 697.13 is: 980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.75 : 697.13 = 697.13 : x
  2. Step 2: Convert to fraction form
    495.75/697.13 = 697.13/x
  3. Step 3: Cross multiply
    495.75x = 697.13 × 697.13
  4. Step 4: Simplify right side
    495.75x = 485,983.27
  5. Step 5: Solve for x
    x = 485,983.27/495.75
  6. Step 6: Final answer
    x = 980.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.