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Finding the Third Proportional to 332,903 and 719,012

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Solution

The third proportional to 332,903 and 719,012 is: 1,552,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,903 : 719,012 = 719,012 : x
  2. Step 2: Convert to fraction form
    332,903/719,012 = 719,012/x
  3. Step 3: Cross multiply
    332,903x = 719,012 × 719,012
  4. Step 4: Simplify right side
    332,903x = 516,978,256,144
  5. Step 5: Solve for x
    x = 516,978,256,144/332,903
  6. Step 6: Final answer
    x = 1,552,939.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.