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Finding the Third Proportional to 604.88 and 908.06

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Solution

The third proportional to 604.88 and 908.06 is: 1,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.88 : 908.06 = 908.06 : x
  2. Step 2: Convert to fraction form
    604.88/908.06 = 908.06/x
  3. Step 3: Cross multiply
    604.88x = 908.06 × 908.06
  4. Step 4: Simplify right side
    604.88x = 824,577.50
  5. Step 5: Solve for x
    x = 824,577.50/604.88
  6. Step 6: Final answer
    x = 1,363.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.