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Finding the Third Proportional to 443,828.25 and 628,006.50

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Solution

The third proportional to 443,828.25 and 628,006.50 is: 888,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,828.25 : 628,006.50 = 628,006.50 : x
  2. Step 2: Convert to fraction form
    443,828.25/628,006.50 = 628,006.50/x
  3. Step 3: Cross multiply
    443,828.25x = 628,006.50 × 628,006.50
  4. Step 4: Simplify right side
    443,828.25x = 394,392,164,042.25
  5. Step 5: Solve for x
    x = 394,392,164,042.25/443,828.25
  6. Step 6: Final answer
    x = 888,614.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.