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Finding the Third Proportional to 224,062 and 468,896

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Solution

The third proportional to 224,062 and 468,896 is: 981,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,062 : 468,896 = 468,896 : x
  2. Step 2: Convert to fraction form
    224,062/468,896 = 468,896/x
  3. Step 3: Cross multiply
    224,062x = 468,896 × 468,896
  4. Step 4: Simplify right side
    224,062x = 219,863,458,816
  5. Step 5: Solve for x
    x = 219,863,458,816/224,062
  6. Step 6: Final answer
    x = 981,261.70

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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.