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Finding the Third Proportional to 719.91 and 1,553.44

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Solution

The third proportional to 719.91 and 1,553.44 is: 3,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.91 : 1,553.44 = 1,553.44 : x
  2. Step 2: Convert to fraction form
    719.91/1,553.44 = 1,553.44/x
  3. Step 3: Cross multiply
    719.91x = 1,553.44 × 1,553.44
  4. Step 4: Simplify right side
    719.91x = 2,413,168.07
  5. Step 5: Solve for x
    x = 2,413,168.07/719.91
  6. Step 6: Final answer
    x = 3,352.06

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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.