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Finding the Third Proportional to 460,131.75 and 993,766.50

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Solution

The third proportional to 460,131.75 and 993,766.50 is: 2,146,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,131.75 : 993,766.50 = 993,766.50 : x
  2. Step 2: Convert to fraction form
    460,131.75/993,766.50 = 993,766.50/x
  3. Step 3: Cross multiply
    460,131.75x = 993,766.50 × 993,766.50
  4. Step 4: Simplify right side
    460,131.75x = 987,571,856,522.25
  5. Step 5: Solve for x
    x = 987,571,856,522.25/460,131.75
  6. Step 6: Final answer
    x = 2,146,280.62

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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.