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Finding the Third Proportional to 329,864 and 493,926

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Solution

The third proportional to 329,864 and 493,926 is: 739,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,864 : 493,926 = 493,926 : x
  2. Step 2: Convert to fraction form
    329,864/493,926 = 493,926/x
  3. Step 3: Cross multiply
    329,864x = 493,926 × 493,926
  4. Step 4: Simplify right side
    329,864x = 243,962,893,476
  5. Step 5: Solve for x
    x = 243,962,893,476/329,864
  6. Step 6: Final answer
    x = 739,586.29

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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.