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Finding the Third Proportional to 392.25 and 810.25

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Solution

The third proportional to 392.25 and 810.25 is: 1,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 810.25 = 810.25 : x
  2. Step 2: Convert to fraction form
    392.25/810.25 = 810.25/x
  3. Step 3: Cross multiply
    392.25x = 810.25 × 810.25
  4. Step 4: Simplify right side
    392.25x = 656,505.06
  5. Step 5: Solve for x
    x = 656,505.06/392.25
  6. Step 6: Final answer
    x = 1,673.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.