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Finding the Third Proportional to 822.94 and 1,783.13

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Solution

The third proportional to 822.94 and 1,783.13 is: 3,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.94 : 1,783.13 = 1,783.13 : x
  2. Step 2: Convert to fraction form
    822.94/1,783.13 = 1,783.13/x
  3. Step 3: Cross multiply
    822.94x = 1,783.13 × 1,783.13
  4. Step 4: Simplify right side
    822.94x = 3,179,534.77
  5. Step 5: Solve for x
    x = 3,179,534.77/822.94
  6. Step 6: Final answer
    x = 3,863.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.