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Finding the Third Proportional to 228,614.63 and 497,958.75

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Solution

The third proportional to 228,614.63 and 497,958.75 is: 1,084,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,614.63 : 497,958.75 = 497,958.75 : x
  2. Step 2: Convert to fraction form
    228,614.63/497,958.75 = 497,958.75/x
  3. Step 3: Cross multiply
    228,614.63x = 497,958.75 × 497,958.75
  4. Step 4: Simplify right side
    228,614.63x = 247,962,916,701.56
  5. Step 5: Solve for x
    x = 247,962,916,701.56/228,614.63
  6. Step 6: Final answer
    x = 1,084,632.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.