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Finding the Third Proportional to 224,108 and 468,988

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Solution

The third proportional to 224,108 and 468,988 is: 981,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,108 : 468,988 = 468,988 : x
  2. Step 2: Convert to fraction form
    224,108/468,988 = 468,988/x
  3. Step 3: Cross multiply
    224,108x = 468,988 × 468,988
  4. Step 4: Simplify right side
    224,108x = 219,949,744,144
  5. Step 5: Solve for x
    x = 219,949,744,144/224,108
  6. Step 6: Final answer
    x = 981,445.30

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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.