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Finding the Third Proportional to 329,839 and 493,894

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Solution

The third proportional to 329,839 and 493,894 is: 739,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,839 : 493,894 = 493,894 : x
  2. Step 2: Convert to fraction form
    329,839/493,894 = 493,894/x
  3. Step 3: Cross multiply
    329,839x = 493,894 × 493,894
  4. Step 4: Simplify right side
    329,839x = 243,931,283,236
  5. Step 5: Solve for x
    x = 243,931,283,236/329,839
  6. Step 6: Final answer
    x = 739,546.52

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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.