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Finding the Third Proportional to 239,192 and 493,932

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Solution

The third proportional to 239,192 and 493,932 is: 1,019,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,192 : 493,932 = 493,932 : x
  2. Step 2: Convert to fraction form
    239,192/493,932 = 493,932/x
  3. Step 3: Cross multiply
    239,192x = 493,932 × 493,932
  4. Step 4: Simplify right side
    239,192x = 243,968,820,624
  5. Step 5: Solve for x
    x = 243,968,820,624/239,192
  6. Step 6: Final answer
    x = 1,019,970.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.