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Finding the Third Proportional to 320,297.25 and 680,102.25

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Solution

The third proportional to 320,297.25 and 680,102.25 is: 1,444,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,297.25 : 680,102.25 = 680,102.25 : x
  2. Step 2: Convert to fraction form
    320,297.25/680,102.25 = 680,102.25/x
  3. Step 3: Cross multiply
    320,297.25x = 680,102.25 × 680,102.25
  4. Step 4: Simplify right side
    320,297.25x = 462,539,070,455.06
  5. Step 5: Solve for x
    x = 462,539,070,455.06/320,297.25
  6. Step 6: Final answer
    x = 1,444,093.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.