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Finding the Third Proportional to 493,879 and 747,704

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Solution

The third proportional to 493,879 and 747,704 is: 1,131,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,879 : 747,704 = 747,704 : x
  2. Step 2: Convert to fraction form
    493,879/747,704 = 747,704/x
  3. Step 3: Cross multiply
    493,879x = 747,704 × 747,704
  4. Step 4: Simplify right side
    493,879x = 559,061,271,616
  5. Step 5: Solve for x
    x = 559,061,271,616/493,879
  6. Step 6: Final answer
    x = 1,131,980.25

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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.