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Finding the Third Proportional to 281,380.50 and 616,126.50

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Solution

The third proportional to 281,380.50 and 616,126.50 is: 1,349,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,380.50 : 616,126.50 = 616,126.50 : x
  2. Step 2: Convert to fraction form
    281,380.50/616,126.50 = 616,126.50/x
  3. Step 3: Cross multiply
    281,380.50x = 616,126.50 × 616,126.50
  4. Step 4: Simplify right side
    281,380.50x = 379,611,864,002.25
  5. Step 5: Solve for x
    x = 379,611,864,002.25/281,380.50
  6. Step 6: Final answer
    x = 1,349,105.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.