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Finding the Third Proportional to 337,207.22 and 705,589.31

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Solution

The third proportional to 337,207.22 and 705,589.31 is: 1,476,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,207.22 : 705,589.31 = 705,589.31 : x
  2. Step 2: Convert to fraction form
    337,207.22/705,589.31 = 705,589.31/x
  3. Step 3: Cross multiply
    337,207.22x = 705,589.31 × 705,589.31
  4. Step 4: Simplify right side
    337,207.22x = 497,856,277,914.22
  5. Step 5: Solve for x
    x = 497,856,277,914.22/337,207.22
  6. Step 6: Final answer
    x = 1,476,410.50

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.