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Finding the Third Proportional to 319,993 and 482,018

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Solution

The third proportional to 319,993 and 482,018 is: 726,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,993 : 482,018 = 482,018 : x
  2. Step 2: Convert to fraction form
    319,993/482,018 = 482,018/x
  3. Step 3: Cross multiply
    319,993x = 482,018 × 482,018
  4. Step 4: Simplify right side
    319,993x = 232,341,352,324
  5. Step 5: Solve for x
    x = 232,341,352,324/319,993
  6. Step 6: Final answer
    x = 726,082.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.