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Finding the Third Proportional to 273,483 and 413,997

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Solution

The third proportional to 273,483 and 413,997 is: 626,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,483 : 413,997 = 413,997 : x
  2. Step 2: Convert to fraction form
    273,483/413,997 = 413,997/x
  3. Step 3: Cross multiply
    273,483x = 413,997 × 413,997
  4. Step 4: Simplify right side
    273,483x = 171,393,516,009
  5. Step 5: Solve for x
    x = 171,393,516,009/273,483
  6. Step 6: Final answer
    x = 626,706.29

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