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Finding the Third Proportional to 312,270.75 and 671,905.13

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Solution

The third proportional to 312,270.75 and 671,905.13 is: 1,445,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,270.75 : 671,905.13 = 671,905.13 : x
  2. Step 2: Convert to fraction form
    312,270.75/671,905.13 = 671,905.13/x
  3. Step 3: Cross multiply
    312,270.75x = 671,905.13 × 671,905.13
  4. Step 4: Simplify right side
    312,270.75x = 451,456,497,001.27
  5. Step 5: Solve for x
    x = 451,456,497,001.27/312,270.75
  6. Step 6: Final answer
    x = 1,445,721.37

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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.