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Finding the Third Proportional to 262,453.50 and 407,166.75

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Solution

The third proportional to 262,453.50 and 407,166.75 is: 631,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,453.50 : 407,166.75 = 407,166.75 : x
  2. Step 2: Convert to fraction form
    262,453.50/407,166.75 = 407,166.75/x
  3. Step 3: Cross multiply
    262,453.50x = 407,166.75 × 407,166.75
  4. Step 4: Simplify right side
    262,453.50x = 165,784,762,305.56
  5. Step 5: Solve for x
    x = 165,784,762,305.56/262,453.50
  6. Step 6: Final answer
    x = 631,672.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.