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Finding the Third Proportional to 228,940 and 497,268

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Solution

The third proportional to 228,940 and 497,268 is: 1,080,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,940 : 497,268 = 497,268 : x
  2. Step 2: Convert to fraction form
    228,940/497,268 = 497,268/x
  3. Step 3: Cross multiply
    228,940x = 497,268 × 497,268
  4. Step 4: Simplify right side
    228,940x = 247,275,463,824
  5. Step 5: Solve for x
    x = 247,275,463,824/228,940
  6. Step 6: Final answer
    x = 1,080,088.51

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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.