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Finding the Third Proportional to 460,608 and 996,664.50

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Solution

The third proportional to 460,608 and 996,664.50 is: 2,156,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,608 : 996,664.50 = 996,664.50 : x
  2. Step 2: Convert to fraction form
    460,608/996,664.50 = 996,664.50/x
  3. Step 3: Cross multiply
    460,608x = 996,664.50 × 996,664.50
  4. Step 4: Simplify right side
    460,608x = 993,340,125,560.25
  5. Step 5: Solve for x
    x = 993,340,125,560.25/460,608
  6. Step 6: Final answer
    x = 2,156,584.61

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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.