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Finding the Third Proportional to 281,440.50 and 414,719

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Solution

The third proportional to 281,440.50 and 414,719 is: 611,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,440.50 : 414,719 = 414,719 : x
  2. Step 2: Convert to fraction form
    281,440.50/414,719 = 414,719/x
  3. Step 3: Cross multiply
    281,440.50x = 414,719 × 414,719
  4. Step 4: Simplify right side
    281,440.50x = 171,991,848,961
  5. Step 5: Solve for x
    x = 171,991,848,961/281,440.50
  6. Step 6: Final answer
    x = 611,112.65

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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.