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Finding the Third Proportional to 374,129 and 823,025

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Solution

The third proportional to 374,129 and 823,025 is: 1,810,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,129 : 823,025 = 823,025 : x
  2. Step 2: Convert to fraction form
    374,129/823,025 = 823,025/x
  3. Step 3: Cross multiply
    374,129x = 823,025 × 823,025
  4. Step 4: Simplify right side
    374,129x = 677,370,150,625
  5. Step 5: Solve for x
    x = 677,370,150,625/374,129
  6. Step 6: Final answer
    x = 1,810,525.65

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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.