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Finding the Third Proportional to 226,933.50 and 488,877.75

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Solution

The third proportional to 226,933.50 and 488,877.75 is: 1,053,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,933.50 : 488,877.75 = 488,877.75 : x
  2. Step 2: Convert to fraction form
    226,933.50/488,877.75 = 488,877.75/x
  3. Step 3: Cross multiply
    226,933.50x = 488,877.75 × 488,877.75
  4. Step 4: Simplify right side
    226,933.50x = 239,001,454,445.06
  5. Step 5: Solve for x
    x = 239,001,454,445.06/226,933.50
  6. Step 6: Final answer
    x = 1,053,178.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.