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Finding the Third Proportional to 228,943.13 and 497,292.75

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Solution

The third proportional to 228,943.13 and 497,292.75 is: 1,080,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,943.13 : 497,292.75 = 497,292.75 : x
  2. Step 2: Convert to fraction form
    228,943.13/497,292.75 = 497,292.75/x
  3. Step 3: Cross multiply
    228,943.13x = 497,292.75 × 497,292.75
  4. Step 4: Simplify right side
    228,943.13x = 247,300,079,202.56
  5. Step 5: Solve for x
    x = 247,300,079,202.56/228,943.13
  6. Step 6: Final answer
    x = 1,080,181.29

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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.