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Finding the Third Proportional to 282,448 and 449,997

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Solution

The third proportional to 282,448 and 449,997 is: 716,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,448 : 449,997 = 449,997 : x
  2. Step 2: Convert to fraction form
    282,448/449,997 = 449,997/x
  3. Step 3: Cross multiply
    282,448x = 449,997 × 449,997
  4. Step 4: Simplify right side
    282,448x = 202,497,300,009
  5. Step 5: Solve for x
    x = 202,497,300,009/282,448
  6. Step 6: Final answer
    x = 716,936.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.