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Finding the Third Proportional to 231,627 and 503,106

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Solution

The third proportional to 231,627 and 503,106 is: 1,092,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,627 : 503,106 = 503,106 : x
  2. Step 2: Convert to fraction form
    231,627/503,106 = 503,106/x
  3. Step 3: Cross multiply
    231,627x = 503,106 × 503,106
  4. Step 4: Simplify right side
    231,627x = 253,115,647,236
  5. Step 5: Solve for x
    x = 253,115,647,236/231,627
  6. Step 6: Final answer
    x = 1,092,772.64

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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.