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Finding the Third Proportional to 692.30 and 1,492.17

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Solution

The third proportional to 692.30 and 1,492.17 is: 3,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.30 : 1,492.17 = 1,492.17 : x
  2. Step 2: Convert to fraction form
    692.30/1,492.17 = 1,492.17/x
  3. Step 3: Cross multiply
    692.30x = 1,492.17 × 1,492.17
  4. Step 4: Simplify right side
    692.30x = 2,226,576.90
  5. Step 5: Solve for x
    x = 2,226,576.90/692.30
  6. Step 6: Final answer
    x = 3,216.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.