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Finding the Third Proportional to 692.93 and 1,444.29

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Solution

The third proportional to 692.93 and 1,444.29 is: 3,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 1,444.29 = 1,444.29 : x
  2. Step 2: Convert to fraction form
    692.93/1,444.29 = 1,444.29/x
  3. Step 3: Cross multiply
    692.93x = 1,444.29 × 1,444.29
  4. Step 4: Simplify right side
    692.93x = 2,085,970.90
  5. Step 5: Solve for x
    x = 2,085,970.90/692.93
  6. Step 6: Final answer
    x = 3,010.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.