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Finding the Third Proportional to 228,906 and 497,218

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Solution

The third proportional to 228,906 and 497,218 is: 1,080,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,906 : 497,218 = 497,218 : x
  2. Step 2: Convert to fraction form
    228,906/497,218 = 497,218/x
  3. Step 3: Cross multiply
    228,906x = 497,218 × 497,218
  4. Step 4: Simplify right side
    228,906x = 247,225,739,524
  5. Step 5: Solve for x
    x = 247,225,739,524/228,906
  6. Step 6: Final answer
    x = 1,080,031.71

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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.