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Finding the Third Proportional to 444,217.50 and 633,098.25

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Solution

The third proportional to 444,217.50 and 633,098.25 is: 902,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,217.50 : 633,098.25 = 633,098.25 : x
  2. Step 2: Convert to fraction form
    444,217.50/633,098.25 = 633,098.25/x
  3. Step 3: Cross multiply
    444,217.50x = 633,098.25 × 633,098.25
  4. Step 4: Simplify right side
    444,217.50x = 400,813,394,153.06
  5. Step 5: Solve for x
    x = 400,813,394,153.06/444,217.50
  6. Step 6: Final answer
    x = 902,290.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.