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Finding the Third Proportional to 228,939.75 and 497,268.56

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Solution

The third proportional to 228,939.75 and 497,268.56 is: 1,080,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,939.75 : 497,268.56 = 497,268.56 : x
  2. Step 2: Convert to fraction form
    228,939.75/497,268.56 = 497,268.56/x
  3. Step 3: Cross multiply
    228,939.75x = 497,268.56 × 497,268.56
  4. Step 4: Simplify right side
    228,939.75x = 247,276,023,250.82
  5. Step 5: Solve for x
    x = 247,276,023,250.82/228,939.75
  6. Step 6: Final answer
    x = 1,080,092.13

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Why These Related Problems?

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