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Finding the Third Proportional to 224,001 and 468,747

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Solution

The third proportional to 224,001 and 468,747 is: 980,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,001 : 468,747 = 468,747 : x
  2. Step 2: Convert to fraction form
    224,001/468,747 = 468,747/x
  3. Step 3: Cross multiply
    224,001x = 468,747 × 468,747
  4. Step 4: Simplify right side
    224,001x = 219,723,750,009
  5. Step 5: Solve for x
    x = 219,723,750,009/224,001
  6. Step 6: Final answer
    x = 980,905.22

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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.