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Finding the Third Proportional to 330,108 and 493,928

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Solution

The third proportional to 330,108 and 493,928 is: 739,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,108 : 493,928 = 493,928 : x
  2. Step 2: Convert to fraction form
    330,108/493,928 = 493,928/x
  3. Step 3: Cross multiply
    330,108x = 493,928 × 493,928
  4. Step 4: Simplify right side
    330,108x = 243,964,869,184
  5. Step 5: Solve for x
    x = 243,964,869,184/330,108
  6. Step 6: Final answer
    x = 739,045.61

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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.