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Finding the Third Proportional to 763.31 and 837.56

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Solution

The third proportional to 763.31 and 837.56 is: 919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.31 : 837.56 = 837.56 : x
  2. Step 2: Convert to fraction form
    763.31/837.56 = 837.56/x
  3. Step 3: Cross multiply
    763.31x = 837.56 × 837.56
  4. Step 4: Simplify right side
    763.31x = 701,510.94
  5. Step 5: Solve for x
    x = 701,510.94/763.31
  6. Step 6: Final answer
    x = 919.04

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.