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Finding the Third Proportional to 713.81 and 792.56

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Solution

The third proportional to 713.81 and 792.56 is: 880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 792.56 = 792.56 : x
  2. Step 2: Convert to fraction form
    713.81/792.56 = 792.56/x
  3. Step 3: Cross multiply
    713.81x = 792.56 × 792.56
  4. Step 4: Simplify right side
    713.81x = 628,155.32
  5. Step 5: Solve for x
    x = 628,155.32/713.81
  6. Step 6: Final answer
    x = 880.00

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.