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Finding the Third Proportional to 239,214 and 493,494

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Solution

The third proportional to 239,214 and 493,494 is: 1,018,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,214 : 493,494 = 493,494 : x
  2. Step 2: Convert to fraction form
    239,214/493,494 = 493,494/x
  3. Step 3: Cross multiply
    239,214x = 493,494 × 493,494
  4. Step 4: Simplify right side
    239,214x = 243,536,328,036
  5. Step 5: Solve for x
    x = 243,536,328,036/239,214
  6. Step 6: Final answer
    x = 1,018,068.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.