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Finding the Third Proportional to 223,816 and 457,970

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Solution

The third proportional to 223,816 and 457,970 is: 937,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,816 : 457,970 = 457,970 : x
  2. Step 2: Convert to fraction form
    223,816/457,970 = 457,970/x
  3. Step 3: Cross multiply
    223,816x = 457,970 × 457,970
  4. Step 4: Simplify right side
    223,816x = 209,736,520,900
  5. Step 5: Solve for x
    x = 209,736,520,900/223,816
  6. Step 6: Final answer
    x = 937,093.51

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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.