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Finding the Third Proportional to 328,796 and 493,194

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Solution

The third proportional to 328,796 and 493,194 is: 739,791

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,796 : 493,194 = 493,194 : x
  2. Step 2: Convert to fraction form
    328,796/493,194 = 493,194/x
  3. Step 3: Cross multiply
    328,796x = 493,194 × 493,194
  4. Step 4: Simplify right side
    328,796x = 243,240,321,636
  5. Step 5: Solve for x
    x = 243,240,321,636/328,796
  6. Step 6: Final answer
    x = 739,791

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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.