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Finding the Third Proportional to 386 and 822.63

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Solution

The third proportional to 386 and 822.63 is: 1,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 822.63 = 822.63 : x
  2. Step 2: Convert to fraction form
    386/822.63 = 822.63/x
  3. Step 3: Cross multiply
    386x = 822.63 × 822.63
  4. Step 4: Simplify right side
    386x = 676,711.89
  5. Step 5: Solve for x
    x = 676,711.89/386
  6. Step 6: Final answer
    x = 1,753.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.