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Finding the Third Proportional to 224,093 and 468,963

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Solution

The third proportional to 224,093 and 468,963 is: 981,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,093 : 468,963 = 468,963 : x
  2. Step 2: Convert to fraction form
    224,093/468,963 = 468,963/x
  3. Step 3: Cross multiply
    224,093x = 468,963 × 468,963
  4. Step 4: Simplify right side
    224,093x = 219,926,295,369
  5. Step 5: Solve for x
    x = 219,926,295,369/224,093
  6. Step 6: Final answer
    x = 981,406.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.