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Finding the Third Proportional to 431.81 and 920.91

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Solution

The third proportional to 431.81 and 920.91 is: 1,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 920.91 = 920.91 : x
  2. Step 2: Convert to fraction form
    431.81/920.91 = 920.91/x
  3. Step 3: Cross multiply
    431.81x = 920.91 × 920.91
  4. Step 4: Simplify right side
    431.81x = 848,068.32
  5. Step 5: Solve for x
    x = 848,068.32/431.81
  6. Step 6: Final answer
    x = 1,963.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.