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Finding the Third Proportional to 608.81 and 920.63

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Solution

The third proportional to 608.81 and 920.63 is: 1,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.81 : 920.63 = 920.63 : x
  2. Step 2: Convert to fraction form
    608.81/920.63 = 920.63/x
  3. Step 3: Cross multiply
    608.81x = 920.63 × 920.63
  4. Step 4: Simplify right side
    608.81x = 847,550.39
  5. Step 5: Solve for x
    x = 847,550.39/608.81
  6. Step 6: Final answer
    x = 1,392.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.