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Finding the Third Proportional to 228,204 and 508,878

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Solution

The third proportional to 228,204 and 508,878 is: 1,134,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,204 : 508,878 = 508,878 : x
  2. Step 2: Convert to fraction form
    228,204/508,878 = 508,878/x
  3. Step 3: Cross multiply
    228,204x = 508,878 × 508,878
  4. Step 4: Simplify right side
    228,204x = 258,956,818,884
  5. Step 5: Solve for x
    x = 258,956,818,884/228,204
  6. Step 6: Final answer
    x = 1,134,760.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.