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Finding the Third Proportional to 228,923.44 and 497,238.19

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Solution

The third proportional to 228,923.44 and 497,238.19 is: 1,080,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,923.44 : 497,238.19 = 497,238.19 : x
  2. Step 2: Convert to fraction form
    228,923.44/497,238.19 = 497,238.19/x
  3. Step 3: Cross multiply
    228,923.44x = 497,238.19 × 497,238.19
  4. Step 4: Simplify right side
    228,923.44x = 247,245,815,108.29
  5. Step 5: Solve for x
    x = 247,245,815,108.29/228,923.44
  6. Step 6: Final answer
    x = 1,080,037.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.