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Finding the Third Proportional to 339,098.06 and 724,833.56

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Solution

The third proportional to 339,098.06 and 724,833.56 is: 1,549,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,098.06 : 724,833.56 = 724,833.56 : x
  2. Step 2: Convert to fraction form
    339,098.06/724,833.56 = 724,833.56/x
  3. Step 3: Cross multiply
    339,098.06x = 724,833.56 × 724,833.56
  4. Step 4: Simplify right side
    339,098.06x = 525,383,693,326.44
  5. Step 5: Solve for x
    x = 525,383,693,326.44/339,098.06
  6. Step 6: Final answer
    x = 1,549,356.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.