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Finding the Third Proportional to 223,804 and 457,947

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Solution

The third proportional to 223,804 and 457,947 is: 937,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,804 : 457,947 = 457,947 : x
  2. Step 2: Convert to fraction form
    223,804/457,947 = 457,947/x
  3. Step 3: Cross multiply
    223,804x = 457,947 × 457,947
  4. Step 4: Simplify right side
    223,804x = 209,715,454,809
  5. Step 5: Solve for x
    x = 209,715,454,809/223,804
  6. Step 6: Final answer
    x = 937,049.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.