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Finding the Third Proportional to 361,360.13 and 778,218.75

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Solution

The third proportional to 361,360.13 and 778,218.75 is: 1,675,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,360.13 : 778,218.75 = 778,218.75 : x
  2. Step 2: Convert to fraction form
    361,360.13/778,218.75 = 778,218.75/x
  3. Step 3: Cross multiply
    361,360.13x = 778,218.75 × 778,218.75
  4. Step 4: Simplify right side
    361,360.13x = 605,624,422,851.56
  5. Step 5: Solve for x
    x = 605,624,422,851.56/361,360.13
  6. Step 6: Final answer
    x = 1,675,958.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.