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Finding the Third Proportional to 792.56 and 902.81

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Solution

The third proportional to 792.56 and 902.81 is: 1,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.56 : 902.81 = 902.81 : x
  2. Step 2: Convert to fraction form
    792.56/902.81 = 902.81/x
  3. Step 3: Cross multiply
    792.56x = 902.81 × 902.81
  4. Step 4: Simplify right side
    792.56x = 815,070.41
  5. Step 5: Solve for x
    x = 815,070.41/792.56
  6. Step 6: Final answer
    x = 1,028.40

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.