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Finding the Third Proportional to 282,449 and 449,999

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Solution

The third proportional to 282,449 and 449,999 is: 716,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,449 : 449,999 = 449,999 : x
  2. Step 2: Convert to fraction form
    282,449/449,999 = 449,999/x
  3. Step 3: Cross multiply
    282,449x = 449,999 × 449,999
  4. Step 4: Simplify right side
    282,449x = 202,499,100,001
  5. Step 5: Solve for x
    x = 202,499,100,001/282,449
  6. Step 6: Final answer
    x = 716,940.40

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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.