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Finding the Third Proportional to 450.04 and 604.81

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Solution

The third proportional to 450.04 and 604.81 is: 812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.04 : 604.81 = 604.81 : x
  2. Step 2: Convert to fraction form
    450.04/604.81 = 604.81/x
  3. Step 3: Cross multiply
    450.04x = 604.81 × 604.81
  4. Step 4: Simplify right side
    450.04x = 365,795.80
  5. Step 5: Solve for x
    x = 365,795.80/450.04
  6. Step 6: Final answer
    x = 812.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.