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Finding the Third Proportional to 293,132.25 and 642,377.25

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Solution

The third proportional to 293,132.25 and 642,377.25 is: 1,407,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,132.25 : 642,377.25 = 642,377.25 : x
  2. Step 2: Convert to fraction form
    293,132.25/642,377.25 = 642,377.25/x
  3. Step 3: Cross multiply
    293,132.25x = 642,377.25 × 642,377.25
  4. Step 4: Simplify right side
    293,132.25x = 412,648,531,317.56
  5. Step 5: Solve for x
    x = 412,648,531,317.56/293,132.25
  6. Step 6: Final answer
    x = 1,407,721.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.