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Finding the Third Proportional to 203,699.25 and 438,603.75

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Solution

The third proportional to 203,699.25 and 438,603.75 is: 944,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,699.25 : 438,603.75 = 438,603.75 : x
  2. Step 2: Convert to fraction form
    203,699.25/438,603.75 = 438,603.75/x
  3. Step 3: Cross multiply
    203,699.25x = 438,603.75 × 438,603.75
  4. Step 4: Simplify right side
    203,699.25x = 192,373,249,514.06
  5. Step 5: Solve for x
    x = 192,373,249,514.06/203,699.25
  6. Step 6: Final answer
    x = 944,398.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.