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Finding the Third Proportional to 719.03 and 950.17

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Solution

The third proportional to 719.03 and 950.17 is: 1,255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.03 : 950.17 = 950.17 : x
  2. Step 2: Convert to fraction form
    719.03/950.17 = 950.17/x
  3. Step 3: Cross multiply
    719.03x = 950.17 × 950.17
  4. Step 4: Simplify right side
    719.03x = 902,819.17
  5. Step 5: Solve for x
    x = 902,819.17/719.03
  6. Step 6: Final answer
    x = 1,255.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.