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Finding the Third Proportional to 644.06 and 792.56

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Solution

The third proportional to 644.06 and 792.56 is: 975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 792.56 = 792.56 : x
  2. Step 2: Convert to fraction form
    644.06/792.56 = 792.56/x
  3. Step 3: Cross multiply
    644.06x = 792.56 × 792.56
  4. Step 4: Simplify right side
    644.06x = 628,155.32
  5. Step 5: Solve for x
    x = 628,155.32/644.06
  6. Step 6: Final answer
    x = 975.30

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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.