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Finding the Third Proportional to 354,486.38 and 777,873.38

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Solution

The third proportional to 354,486.38 and 777,873.38 is: 1,706,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,486.38 : 777,873.38 = 777,873.38 : x
  2. Step 2: Convert to fraction form
    354,486.38/777,873.38 = 777,873.38/x
  3. Step 3: Cross multiply
    354,486.38x = 777,873.38 × 777,873.38
  4. Step 4: Simplify right side
    354,486.38x = 605,086,987,533.89
  5. Step 5: Solve for x
    x = 605,086,987,533.89/354,486.38
  6. Step 6: Final answer
    x = 1,706,940.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.