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Finding the Third Proportional to 357,863.91 and 777,851.44

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Solution

The third proportional to 357,863.91 and 777,851.44 is: 1,690,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863.91 : 777,851.44 = 777,851.44 : x
  2. Step 2: Convert to fraction form
    357,863.91/777,851.44 = 777,851.44/x
  3. Step 3: Cross multiply
    357,863.91x = 777,851.44 × 777,851.44
  4. Step 4: Simplify right side
    357,863.91x = 605,052,858,820.82
  5. Step 5: Solve for x
    x = 605,052,858,820.82/357,863.91
  6. Step 6: Final answer
    x = 1,690,734.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.