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Finding the Third Proportional to 716.81 and 1,574.53

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Solution

The third proportional to 716.81 and 1,574.53 is: 3,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.81 : 1,574.53 = 1,574.53 : x
  2. Step 2: Convert to fraction form
    716.81/1,574.53 = 1,574.53/x
  3. Step 3: Cross multiply
    716.81x = 1,574.53 × 1,574.53
  4. Step 4: Simplify right side
    716.81x = 2,479,148.66
  5. Step 5: Solve for x
    x = 2,479,148.66/716.81
  6. Step 6: Final answer
    x = 3,458.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.