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Finding the Third Proportional to 699 and 931.50

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Solution

The third proportional to 699 and 931.50 is: 1,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 931.50 = 931.50 : x
  2. Step 2: Convert to fraction form
    699/931.50 = 931.50/x
  3. Step 3: Cross multiply
    699x = 931.50 × 931.50
  4. Step 4: Simplify right side
    699x = 867,692.25
  5. Step 5: Solve for x
    x = 867,692.25/699
  6. Step 6: Final answer
    x = 1,241.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.