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Finding the Third Proportional to 719.44 and 797.06

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Solution

The third proportional to 719.44 and 797.06 is: 883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.44 : 797.06 = 797.06 : x
  2. Step 2: Convert to fraction form
    719.44/797.06 = 797.06/x
  3. Step 3: Cross multiply
    719.44x = 797.06 × 797.06
  4. Step 4: Simplify right side
    719.44x = 635,308.63
  5. Step 5: Solve for x
    x = 635,308.63/719.44
  6. Step 6: Final answer
    x = 883.06

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.