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Finding the Third Proportional to 836.25 and 1,225.88

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Solution

The third proportional to 836.25 and 1,225.88 is: 1,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.25 : 1,225.88 = 1,225.88 : x
  2. Step 2: Convert to fraction form
    836.25/1,225.88 = 1,225.88/x
  3. Step 3: Cross multiply
    836.25x = 1,225.88 × 1,225.88
  4. Step 4: Simplify right side
    836.25x = 1,502,769.52
  5. Step 5: Solve for x
    x = 1,502,769.52/836.25
  6. Step 6: Final answer
    x = 1,797.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.