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Finding the Third Proportional to 692.86 and 972.84

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Solution

The third proportional to 692.86 and 972.84 is: 1,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.86 : 972.84 = 972.84 : x
  2. Step 2: Convert to fraction form
    692.86/972.84 = 972.84/x
  3. Step 3: Cross multiply
    692.86x = 972.84 × 972.84
  4. Step 4: Simplify right side
    692.86x = 946,424.96
  5. Step 5: Solve for x
    x = 946,424.96/692.86
  6. Step 6: Final answer
    x = 1,365.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.