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Finding the Third Proportional to 905.06 and 1,978.31

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Solution

The third proportional to 905.06 and 1,978.31 is: 4,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.06 : 1,978.31 = 1,978.31 : x
  2. Step 2: Convert to fraction form
    905.06/1,978.31 = 1,978.31/x
  3. Step 3: Cross multiply
    905.06x = 1,978.31 × 1,978.31
  4. Step 4: Simplify right side
    905.06x = 3,913,720.35
  5. Step 5: Solve for x
    x = 3,913,720.35/905.06
  6. Step 6: Final answer
    x = 4,324.25

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