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Finding the Third Proportional to 655.45 and 902.04

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Solution

The third proportional to 655.45 and 902.04 is: 1,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.45 : 902.04 = 902.04 : x
  2. Step 2: Convert to fraction form
    655.45/902.04 = 902.04/x
  3. Step 3: Cross multiply
    655.45x = 902.04 × 902.04
  4. Step 4: Simplify right side
    655.45x = 813,674.47
  5. Step 5: Solve for x
    x = 813,674.47/655.45
  6. Step 6: Final answer
    x = 1,241.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.