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Finding the Third Proportional to 538,876 and 749,264

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Solution

The third proportional to 538,876 and 749,264 is: 1,041,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,876 : 749,264 = 749,264 : x
  2. Step 2: Convert to fraction form
    538,876/749,264 = 749,264/x
  3. Step 3: Cross multiply
    538,876x = 749,264 × 749,264
  4. Step 4: Simplify right side
    538,876x = 561,396,541,696
  5. Step 5: Solve for x
    x = 561,396,541,696/538,876
  6. Step 6: Final answer
    x = 1,041,791.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.