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Finding the Third Proportional to 678,201.75 and 1,049,181.75

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Solution

The third proportional to 678,201.75 and 1,049,181.75 is: 1,623,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,201.75 : 1,049,181.75 = 1,049,181.75 : x
  2. Step 2: Convert to fraction form
    678,201.75/1,049,181.75 = 1,049,181.75/x
  3. Step 3: Cross multiply
    678,201.75x = 1,049,181.75 × 1,049,181.75
  4. Step 4: Simplify right side
    678,201.75x = 1,100,782,344,533.06
  5. Step 5: Solve for x
    x = 1,100,782,344,533.06/678,201.75
  6. Step 6: Final answer
    x = 1,623,089.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.