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Finding the Third Proportional to 720.94 and 1,568.44

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Solution

The third proportional to 720.94 and 1,568.44 is: 3,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.94 : 1,568.44 = 1,568.44 : x
  2. Step 2: Convert to fraction form
    720.94/1,568.44 = 1,568.44/x
  3. Step 3: Cross multiply
    720.94x = 1,568.44 × 1,568.44
  4. Step 4: Simplify right side
    720.94x = 2,459,996.19
  5. Step 5: Solve for x
    x = 2,459,996.19/720.94
  6. Step 6: Final answer
    x = 3,412.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.