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Finding the Third Proportional to 281,638.50 and 626,247.75

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Solution

The third proportional to 281,638.50 and 626,247.75 is: 1,392,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,638.50 : 626,247.75 = 626,247.75 : x
  2. Step 2: Convert to fraction form
    281,638.50/626,247.75 = 626,247.75/x
  3. Step 3: Cross multiply
    281,638.50x = 626,247.75 × 626,247.75
  4. Step 4: Simplify right side
    281,638.50x = 392,186,244,380.06
  5. Step 5: Solve for x
    x = 392,186,244,380.06/281,638.50
  6. Step 6: Final answer
    x = 1,392,516.45

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.