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Finding the Third Proportional to 443,623.50 and 961,976.25

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Solution

The third proportional to 443,623.50 and 961,976.25 is: 2,085,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,623.50 : 961,976.25 = 961,976.25 : x
  2. Step 2: Convert to fraction form
    443,623.50/961,976.25 = 961,976.25/x
  3. Step 3: Cross multiply
    443,623.50x = 961,976.25 × 961,976.25
  4. Step 4: Simplify right side
    443,623.50x = 925,398,305,564.06
  5. Step 5: Solve for x
    x = 925,398,305,564.06/443,623.50
  6. Step 6: Final answer
    x = 2,085,999.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.