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Finding the Third Proportional to 438.19 and 910.97

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Solution

The third proportional to 438.19 and 910.97 is: 1,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.19 : 910.97 = 910.97 : x
  2. Step 2: Convert to fraction form
    438.19/910.97 = 910.97/x
  3. Step 3: Cross multiply
    438.19x = 910.97 × 910.97
  4. Step 4: Simplify right side
    438.19x = 829,864.06
  5. Step 5: Solve for x
    x = 829,864.06/438.19
  6. Step 6: Final answer
    x = 1,893.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.