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Finding the Third Proportional to 319,169 and 494,883

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Solution

The third proportional to 319,169 and 494,883 is: 767,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,169 : 494,883 = 494,883 : x
  2. Step 2: Convert to fraction form
    319,169/494,883 = 494,883/x
  3. Step 3: Cross multiply
    319,169x = 494,883 × 494,883
  4. Step 4: Simplify right side
    319,169x = 244,909,183,689
  5. Step 5: Solve for x
    x = 244,909,183,689/319,169
  6. Step 6: Final answer
    x = 767,333.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.