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Finding the Third Proportional to 407,818 and 622,095

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Solution

The third proportional to 407,818 and 622,095 is: 948,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,818 : 622,095 = 622,095 : x
  2. Step 2: Convert to fraction form
    407,818/622,095 = 622,095/x
  3. Step 3: Cross multiply
    407,818x = 622,095 × 622,095
  4. Step 4: Simplify right side
    407,818x = 387,002,189,025
  5. Step 5: Solve for x
    x = 387,002,189,025/407,818
  6. Step 6: Final answer
    x = 948,958.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.