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Finding the Third Proportional to 692.81 and 807.56

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Solution

The third proportional to 692.81 and 807.56 is: 941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.81 : 807.56 = 807.56 : x
  2. Step 2: Convert to fraction form
    692.81/807.56 = 807.56/x
  3. Step 3: Cross multiply
    692.81x = 807.56 × 807.56
  4. Step 4: Simplify right side
    692.81x = 652,157.19
  5. Step 5: Solve for x
    x = 652,157.19/692.81
  6. Step 6: Final answer
    x = 941.32

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.