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Finding the Third Proportional to 360,797.25 and 779,408.25

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Solution

The third proportional to 360,797.25 and 779,408.25 is: 1,683,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,797.25 : 779,408.25 = 779,408.25 : x
  2. Step 2: Convert to fraction form
    360,797.25/779,408.25 = 779,408.25/x
  3. Step 3: Cross multiply
    360,797.25x = 779,408.25 × 779,408.25
  4. Step 4: Simplify right side
    360,797.25x = 607,477,220,168.06
  5. Step 5: Solve for x
    x = 607,477,220,168.06/360,797.25
  6. Step 6: Final answer
    x = 1,683,708.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.