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Finding the Third Proportional to 299,085.75 and 446,671.13

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Solution

The third proportional to 299,085.75 and 446,671.13 is: 667,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,085.75 : 446,671.13 = 446,671.13 : x
  2. Step 2: Convert to fraction form
    299,085.75/446,671.13 = 446,671.13/x
  3. Step 3: Cross multiply
    299,085.75x = 446,671.13 × 446,671.13
  4. Step 4: Simplify right side
    299,085.75x = 199,515,093,908.77
  5. Step 5: Solve for x
    x = 199,515,093,908.77/299,085.75
  6. Step 6: Final answer
    x = 667,083.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.