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Finding the Third Proportional to 730.42 and 1,576.18

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Solution

The third proportional to 730.42 and 1,576.18 is: 3,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.42 : 1,576.18 = 1,576.18 : x
  2. Step 2: Convert to fraction form
    730.42/1,576.18 = 1,576.18/x
  3. Step 3: Cross multiply
    730.42x = 1,576.18 × 1,576.18
  4. Step 4: Simplify right side
    730.42x = 2,484,336.25
  5. Step 5: Solve for x
    x = 2,484,336.25/730.42
  6. Step 6: Final answer
    x = 3,401.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.