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Finding the Third Proportional to 374,144.06 and 820,724.91

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Solution

The third proportional to 374,144.06 and 820,724.91 is: 1,800,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,144.06 : 820,724.91 = 820,724.91 : x
  2. Step 2: Convert to fraction form
    374,144.06/820,724.91 = 820,724.91/x
  3. Step 3: Cross multiply
    374,144.06x = 820,724.91 × 820,724.91
  4. Step 4: Simplify right side
    374,144.06x = 673,589,371,739.07
  5. Step 5: Solve for x
    x = 673,589,371,739.07/374,144.06
  6. Step 6: Final answer
    x = 1,800,347.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.