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Finding the Third Proportional to 904.78 and 1,963.13

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Solution

The third proportional to 904.78 and 1,963.13 is: 4,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.78 : 1,963.13 = 1,963.13 : x
  2. Step 2: Convert to fraction form
    904.78/1,963.13 = 1,963.13/x
  3. Step 3: Cross multiply
    904.78x = 1,963.13 × 1,963.13
  4. Step 4: Simplify right side
    904.78x = 3,853,859.77
  5. Step 5: Solve for x
    x = 3,853,859.77/904.78
  6. Step 6: Final answer
    x = 4,259.44

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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.