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Finding the Third Proportional to 719 and 850

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Solution

The third proportional to 719 and 850 is: 1,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    719 : 850 = 850 : x
  2. Step 2: Convert to fraction form
    719/850 = 850/x
  3. Step 3: Cross multiply
    719x = 850 × 850
  4. Step 4: Simplify right side
    719x = 722,500
  5. Step 5: Solve for x
    x = 722,500/719
  6. Step 6: Final answer
    x = 1,004.87

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.