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Finding the Third Proportional to 493,924 and 744,782

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Solution

The third proportional to 493,924 and 744,782 is: 1,123,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,924 : 744,782 = 744,782 : x
  2. Step 2: Convert to fraction form
    493,924/744,782 = 744,782/x
  3. Step 3: Cross multiply
    493,924x = 744,782 × 744,782
  4. Step 4: Simplify right side
    493,924x = 554,700,227,524
  5. Step 5: Solve for x
    x = 554,700,227,524/493,924
  6. Step 6: Final answer
    x = 1,123,047.73

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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.