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Finding the Third Proportional to 228,243 and 508,938

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Solution

The third proportional to 228,243 and 508,938 is: 1,134,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,243 : 508,938 = 508,938 : x
  2. Step 2: Convert to fraction form
    228,243/508,938 = 508,938/x
  3. Step 3: Cross multiply
    228,243x = 508,938 × 508,938
  4. Step 4: Simplify right side
    228,243x = 259,017,887,844
  5. Step 5: Solve for x
    x = 259,017,887,844/228,243
  6. Step 6: Final answer
    x = 1,134,833.87

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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.