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Finding the Third Proportional to 419.91 and 920.81

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Solution

The third proportional to 419.91 and 920.81 is: 2,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.91 : 920.81 = 920.81 : x
  2. Step 2: Convert to fraction form
    419.91/920.81 = 920.81/x
  3. Step 3: Cross multiply
    419.91x = 920.81 × 920.81
  4. Step 4: Simplify right side
    419.91x = 847,895.66
  5. Step 5: Solve for x
    x = 847,895.66/419.91
  6. Step 6: Final answer
    x = 2,019.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.