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Finding the Third Proportional to 338,821.75 and 451,702.25

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Solution

The third proportional to 338,821.75 and 451,702.25 is: 602,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,821.75 : 451,702.25 = 451,702.25 : x
  2. Step 2: Convert to fraction form
    338,821.75/451,702.25 = 451,702.25/x
  3. Step 3: Cross multiply
    338,821.75x = 451,702.25 × 451,702.25
  4. Step 4: Simplify right side
    338,821.75x = 204,034,922,655.06
  5. Step 5: Solve for x
    x = 204,034,922,655.06/338,821.75
  6. Step 6: Final answer
    x = 602,189.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.