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Finding the Third Proportional to 275,608.13 and 413,412.19

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Solution

The third proportional to 275,608.13 and 413,412.19 is: 620,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,608.13 : 413,412.19 = 413,412.19 : x
  2. Step 2: Convert to fraction form
    275,608.13/413,412.19 = 413,412.19/x
  3. Step 3: Cross multiply
    275,608.13x = 413,412.19 × 413,412.19
  4. Step 4: Simplify right side
    275,608.13x = 170,909,636,773.54
  5. Step 5: Solve for x
    x = 170,909,636,773.54/275,608.13
  6. Step 6: Final answer
    x = 620,118.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.