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Finding the Third Proportional to 550,398.38 and 775,080.56

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Solution

The third proportional to 550,398.38 and 775,080.56 is: 1,091,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,398.38 : 775,080.56 = 775,080.56 : x
  2. Step 2: Convert to fraction form
    550,398.38/775,080.56 = 775,080.56/x
  3. Step 3: Cross multiply
    550,398.38x = 775,080.56 × 775,080.56
  4. Step 4: Simplify right side
    550,398.38x = 600,749,878,365.32
  5. Step 5: Solve for x
    x = 600,749,878,365.32/550,398.38
  6. Step 6: Final answer
    x = 1,091,481.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.