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Finding the Third Proportional to 223,950 and 468,654

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Solution

The third proportional to 223,950 and 468,654 is: 980,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,950 : 468,654 = 468,654 : x
  2. Step 2: Convert to fraction form
    223,950/468,654 = 468,654/x
  3. Step 3: Cross multiply
    223,950x = 468,654 × 468,654
  4. Step 4: Simplify right side
    223,950x = 219,636,571,716
  5. Step 5: Solve for x
    x = 219,636,571,716/223,950
  6. Step 6: Final answer
    x = 980,739.32

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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.