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Finding the Third Proportional to 224,242 and 469,252

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Solution

The third proportional to 224,242 and 469,252 is: 981,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,242 : 469,252 = 469,252 : x
  2. Step 2: Convert to fraction form
    224,242/469,252 = 469,252/x
  3. Step 3: Cross multiply
    224,242x = 469,252 × 469,252
  4. Step 4: Simplify right side
    224,242x = 220,197,439,504
  5. Step 5: Solve for x
    x = 220,197,439,504/224,242
  6. Step 6: Final answer
    x = 981,963.41

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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.