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Finding the Third Proportional to 374,179.50 and 823,095

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Solution

The third proportional to 374,179.50 and 823,095 is: 1,810,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,179.50 : 823,095 = 823,095 : x
  2. Step 2: Convert to fraction form
    374,179.50/823,095 = 823,095/x
  3. Step 3: Cross multiply
    374,179.50x = 823,095 × 823,095
  4. Step 4: Simplify right side
    374,179.50x = 677,485,379,025
  5. Step 5: Solve for x
    x = 677,485,379,025/374,179.50
  6. Step 6: Final answer
    x = 1,810,589.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.