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Finding the Third Proportional to 207,734.50 and 459,064

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Solution

The third proportional to 207,734.50 and 459,064 is: 1,014,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,734.50 : 459,064 = 459,064 : x
  2. Step 2: Convert to fraction form
    207,734.50/459,064 = 459,064/x
  3. Step 3: Cross multiply
    207,734.50x = 459,064 × 459,064
  4. Step 4: Simplify right side
    207,734.50x = 210,739,756,096
  5. Step 5: Solve for x
    x = 210,739,756,096/207,734.50
  6. Step 6: Final answer
    x = 1,014,466.81

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.