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Finding the Third Proportional to 223,808 and 457,956

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Solution

The third proportional to 223,808 and 457,956 is: 937,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,808 : 457,956 = 457,956 : x
  2. Step 2: Convert to fraction form
    223,808/457,956 = 457,956/x
  3. Step 3: Cross multiply
    223,808x = 457,956 × 457,956
  4. Step 4: Simplify right side
    223,808x = 209,723,697,936
  5. Step 5: Solve for x
    x = 209,723,697,936/223,808
  6. Step 6: Final answer
    x = 937,069.71

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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.