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Finding the Third Proportional to 294,941.25 and 628,489.13

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Solution

The third proportional to 294,941.25 and 628,489.13 is: 1,339,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,941.25 : 628,489.13 = 628,489.13 : x
  2. Step 2: Convert to fraction form
    294,941.25/628,489.13 = 628,489.13/x
  3. Step 3: Cross multiply
    294,941.25x = 628,489.13 × 628,489.13
  4. Step 4: Simplify right side
    294,941.25x = 394,998,580,243.27
  5. Step 5: Solve for x
    x = 394,998,580,243.27/294,941.25
  6. Step 6: Final answer
    x = 1,339,244.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.