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Finding the Third Proportional to 828.84 and 1,165.92

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Solution

The third proportional to 828.84 and 1,165.92 is: 1,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,165.92 = 1,165.92 : x
  2. Step 2: Convert to fraction form
    828.84/1,165.92 = 1,165.92/x
  3. Step 3: Cross multiply
    828.84x = 1,165.92 × 1,165.92
  4. Step 4: Simplify right side
    828.84x = 1,359,373.82
  5. Step 5: Solve for x
    x = 1,359,373.82/828.84
  6. Step 6: Final answer
    x = 1,640.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.