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Finding the Third Proportional to 692.13 and 1,059.88

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Solution

The third proportional to 692.13 and 1,059.88 is: 1,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.13 : 1,059.88 = 1,059.88 : x
  2. Step 2: Convert to fraction form
    692.13/1,059.88 = 1,059.88/x
  3. Step 3: Cross multiply
    692.13x = 1,059.88 × 1,059.88
  4. Step 4: Simplify right side
    692.13x = 1,123,335.02
  5. Step 5: Solve for x
    x = 1,123,335.02/692.13
  6. Step 6: Final answer
    x = 1,623.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.