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Finding the Third Proportional to 444,106.50 and 641,010

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Solution

The third proportional to 444,106.50 and 641,010 is: 925,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,106.50 : 641,010 = 641,010 : x
  2. Step 2: Convert to fraction form
    444,106.50/641,010 = 641,010/x
  3. Step 3: Cross multiply
    444,106.50x = 641,010 × 641,010
  4. Step 4: Simplify right side
    444,106.50x = 410,893,820,100
  5. Step 5: Solve for x
    x = 410,893,820,100/444,106.50
  6. Step 6: Final answer
    x = 925,214.61

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.