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Finding the Third Proportional to 720.46 and 1,080.69

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Solution

The third proportional to 720.46 and 1,080.69 is: 1,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.46 : 1,080.69 = 1,080.69 : x
  2. Step 2: Convert to fraction form
    720.46/1,080.69 = 1,080.69/x
  3. Step 3: Cross multiply
    720.46x = 1,080.69 × 1,080.69
  4. Step 4: Simplify right side
    720.46x = 1,167,881.25
  5. Step 5: Solve for x
    x = 1,167,881.25/720.46
  6. Step 6: Final answer
    x = 1,621.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.