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Finding the Third Proportional to 283,305.09 and 616,420.13

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Solution

The third proportional to 283,305.09 and 616,420.13 is: 1,341,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,305.09 : 616,420.13 = 616,420.13 : x
  2. Step 2: Convert to fraction form
    283,305.09/616,420.13 = 616,420.13/x
  3. Step 3: Cross multiply
    283,305.09x = 616,420.13 × 616,420.13
  4. Step 4: Simplify right side
    283,305.09x = 379,973,770,505.02
  5. Step 5: Solve for x
    x = 379,973,770,505.02/283,305.09
  6. Step 6: Final answer
    x = 1,341,217.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.