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Finding the Third Proportional to 281,441.50 and 414,720.50

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Solution

The third proportional to 281,441.50 and 414,720.50 is: 611,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,441.50 : 414,720.50 = 414,720.50 : x
  2. Step 2: Convert to fraction form
    281,441.50/414,720.50 = 414,720.50/x
  3. Step 3: Cross multiply
    281,441.50x = 414,720.50 × 414,720.50
  4. Step 4: Simplify right side
    281,441.50x = 171,993,093,120.25
  5. Step 5: Solve for x
    x = 171,993,093,120.25/281,441.50
  6. Step 6: Final answer
    x = 611,114.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.