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Finding the Third Proportional to 226,815.82 and 497,200.78

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Solution

The third proportional to 226,815.82 and 497,200.78 is: 1,089,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,815.82 : 497,200.78 = 497,200.78 : x
  2. Step 2: Convert to fraction form
    226,815.82/497,200.78 = 497,200.78/x
  3. Step 3: Cross multiply
    226,815.82x = 497,200.78 × 497,200.78
  4. Step 4: Simplify right side
    226,815.82x = 247,208,616,875.61
  5. Step 5: Solve for x
    x = 247,208,616,875.61/226,815.82
  6. Step 6: Final answer
    x = 1,089,909.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.