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Finding the Third Proportional to 319,167 and 494,879.63

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Solution

The third proportional to 319,167 and 494,879.63 is: 767,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,167 : 494,879.63 = 494,879.63 : x
  2. Step 2: Convert to fraction form
    319,167/494,879.63 = 494,879.63/x
  3. Step 3: Cross multiply
    319,167x = 494,879.63 × 494,879.63
  4. Step 4: Simplify right side
    319,167x = 244,905,843,240.14
  5. Step 5: Solve for x
    x = 244,905,843,240.14/319,167
  6. Step 6: Final answer
    x = 767,328.21

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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.