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Finding the Third Proportional to 318,940 and 493,962

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Solution

The third proportional to 318,940 and 493,962 is: 765,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,940 : 493,962 = 493,962 : x
  2. Step 2: Convert to fraction form
    318,940/493,962 = 493,962/x
  3. Step 3: Cross multiply
    318,940x = 493,962 × 493,962
  4. Step 4: Simplify right side
    318,940x = 243,998,457,444
  5. Step 5: Solve for x
    x = 243,998,457,444/318,940
  6. Step 6: Final answer
    x = 765,029.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.