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Finding the Third Proportional to 493,957 and 744,826

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Solution

The third proportional to 493,957 and 744,826 is: 1,123,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,957 : 744,826 = 744,826 : x
  2. Step 2: Convert to fraction form
    493,957/744,826 = 744,826/x
  3. Step 3: Cross multiply
    493,957x = 744,826 × 744,826
  4. Step 4: Simplify right side
    493,957x = 554,765,770,276
  5. Step 5: Solve for x
    x = 554,765,770,276/493,957
  6. Step 6: Final answer
    x = 1,123,105.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.