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Finding the Third Proportional to 827.63 and 1,193.06

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Solution

The third proportional to 827.63 and 1,193.06 is: 1,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,193.06 = 1,193.06 : x
  2. Step 2: Convert to fraction form
    827.63/1,193.06 = 1,193.06/x
  3. Step 3: Cross multiply
    827.63x = 1,193.06 × 1,193.06
  4. Step 4: Simplify right side
    827.63x = 1,423,398.13
  5. Step 5: Solve for x
    x = 1,423,398.13/827.63
  6. Step 6: Final answer
    x = 1,719.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.