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Finding the Third Proportional to 330,803 and 494,882

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Solution

The third proportional to 330,803 and 494,882 is: 740,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,803 : 494,882 = 494,882 : x
  2. Step 2: Convert to fraction form
    330,803/494,882 = 494,882/x
  3. Step 3: Cross multiply
    330,803x = 494,882 × 494,882
  4. Step 4: Simplify right side
    330,803x = 244,908,193,924
  5. Step 5: Solve for x
    x = 244,908,193,924/330,803
  6. Step 6: Final answer
    x = 740,344.54

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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.