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Finding the Third Proportional to 494,796 and 740,889

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Solution

The third proportional to 494,796 and 740,889 is: 1,109,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,796 : 740,889 = 740,889 : x
  2. Step 2: Convert to fraction form
    494,796/740,889 = 740,889/x
  3. Step 3: Cross multiply
    494,796x = 740,889 × 740,889
  4. Step 4: Simplify right side
    494,796x = 548,916,510,321
  5. Step 5: Solve for x
    x = 548,916,510,321/494,796
  6. Step 6: Final answer
    x = 1,109,379.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.