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Finding the Third Proportional to 828.84 and 1,238.06

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Solution

The third proportional to 828.84 and 1,238.06 is: 1,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,238.06 = 1,238.06 : x
  2. Step 2: Convert to fraction form
    828.84/1,238.06 = 1,238.06/x
  3. Step 3: Cross multiply
    828.84x = 1,238.06 × 1,238.06
  4. Step 4: Simplify right side
    828.84x = 1,532,798.75
  5. Step 5: Solve for x
    x = 1,532,798.75/828.84
  6. Step 6: Final answer
    x = 1,849.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.