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Finding the Third Proportional to 828.56 and 929.81

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Solution

The third proportional to 828.56 and 929.81 is: 1,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.56 : 929.81 = 929.81 : x
  2. Step 2: Convert to fraction form
    828.56/929.81 = 929.81/x
  3. Step 3: Cross multiply
    828.56x = 929.81 × 929.81
  4. Step 4: Simplify right side
    828.56x = 864,551.29
  5. Step 5: Solve for x
    x = 864,551.29/828.56
  6. Step 6: Final answer
    x = 1,043.44

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.