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Finding the Third Proportional to 579,408.75 and 779,683.50

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Solution

The third proportional to 579,408.75 and 779,683.50 is: 1,049,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,408.75 : 779,683.50 = 779,683.50 : x
  2. Step 2: Convert to fraction form
    579,408.75/779,683.50 = 779,683.50/x
  3. Step 3: Cross multiply
    579,408.75x = 779,683.50 × 779,683.50
  4. Step 4: Simplify right side
    579,408.75x = 607,906,360,172.25
  5. Step 5: Solve for x
    x = 607,906,360,172.25/579,408.75
  6. Step 6: Final answer
    x = 1,049,183.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.