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Finding the Third Proportional to 544.61 and 799.30

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Solution

The third proportional to 544.61 and 799.30 is: 1,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.61 : 799.30 = 799.30 : x
  2. Step 2: Convert to fraction form
    544.61/799.30 = 799.30/x
  3. Step 3: Cross multiply
    544.61x = 799.30 × 799.30
  4. Step 4: Simplify right side
    544.61x = 638,882.91
  5. Step 5: Solve for x
    x = 638,882.91/544.61
  6. Step 6: Final answer
    x = 1,173.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.