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Finding the Third Proportional to 303,353.25 and 658,272

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Solution

The third proportional to 303,353.25 and 658,272 is: 1,428,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,353.25 : 658,272 = 658,272 : x
  2. Step 2: Convert to fraction form
    303,353.25/658,272 = 658,272/x
  3. Step 3: Cross multiply
    303,353.25x = 658,272 × 658,272
  4. Step 4: Simplify right side
    303,353.25x = 433,322,025,984
  5. Step 5: Solve for x
    x = 433,322,025,984/303,353.25
  6. Step 6: Final answer
    x = 1,428,440.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.