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Finding the Third Proportional to 736.75 and 817.75

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Solution

The third proportional to 736.75 and 817.75 is: 907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.75 : 817.75 = 817.75 : x
  2. Step 2: Convert to fraction form
    736.75/817.75 = 817.75/x
  3. Step 3: Cross multiply
    736.75x = 817.75 × 817.75
  4. Step 4: Simplify right side
    736.75x = 668,715.06
  5. Step 5: Solve for x
    x = 668,715.06/736.75
  6. Step 6: Final answer
    x = 907.66

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.