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Finding the Third Proportional to 224,046 and 468,867

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Solution

The third proportional to 224,046 and 468,867 is: 981,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,046 : 468,867 = 468,867 : x
  2. Step 2: Convert to fraction form
    224,046/468,867 = 468,867/x
  3. Step 3: Cross multiply
    224,046x = 468,867 × 468,867
  4. Step 4: Simplify right side
    224,046x = 219,836,263,689
  5. Step 5: Solve for x
    x = 219,836,263,689/224,046
  6. Step 6: Final answer
    x = 981,210.39

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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.