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Finding the Third Proportional to 902.81 and 1,411.13

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Solution

The third proportional to 902.81 and 1,411.13 is: 2,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.81 : 1,411.13 = 1,411.13 : x
  2. Step 2: Convert to fraction form
    902.81/1,411.13 = 1,411.13/x
  3. Step 3: Cross multiply
    902.81x = 1,411.13 × 1,411.13
  4. Step 4: Simplify right side
    902.81x = 1,991,273.77
  5. Step 5: Solve for x
    x = 1,991,273.77/902.81
  6. Step 6: Final answer
    x = 2,205.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.