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Finding the Third Proportional to 873.84 and 1,201.92

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Solution

The third proportional to 873.84 and 1,201.92 is: 1,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.84 : 1,201.92 = 1,201.92 : x
  2. Step 2: Convert to fraction form
    873.84/1,201.92 = 1,201.92/x
  3. Step 3: Cross multiply
    873.84x = 1,201.92 × 1,201.92
  4. Step 4: Simplify right side
    873.84x = 1,444,616.19
  5. Step 5: Solve for x
    x = 1,444,616.19/873.84
  6. Step 6: Final answer
    x = 1,653.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.