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Finding the Third Proportional to 329,926.50 and 494,883

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Solution

The third proportional to 329,926.50 and 494,883 is: 742,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,926.50 : 494,883 = 494,883 : x
  2. Step 2: Convert to fraction form
    329,926.50/494,883 = 494,883/x
  3. Step 3: Cross multiply
    329,926.50x = 494,883 × 494,883
  4. Step 4: Simplify right side
    329,926.50x = 244,909,183,689
  5. Step 5: Solve for x
    x = 244,909,183,689/329,926.50
  6. Step 6: Final answer
    x = 742,314.38

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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.