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Finding the Third Proportional to 722.81 and 1,405.69

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Solution

The third proportional to 722.81 and 1,405.69 is: 2,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.81 : 1,405.69 = 1,405.69 : x
  2. Step 2: Convert to fraction form
    722.81/1,405.69 = 1,405.69/x
  3. Step 3: Cross multiply
    722.81x = 1,405.69 × 1,405.69
  4. Step 4: Simplify right side
    722.81x = 1,975,957.35
  5. Step 5: Solve for x
    x = 1,975,957.35/722.81
  6. Step 6: Final answer
    x = 2,733.71

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.