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Finding the Third Proportional to 412,263.74 and 630,656.19

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Solution

The third proportional to 412,263.74 and 630,656.19 is: 964,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,263.74 : 630,656.19 = 630,656.19 : x
  2. Step 2: Convert to fraction form
    412,263.74/630,656.19 = 630,656.19/x
  3. Step 3: Cross multiply
    412,263.74x = 630,656.19 × 630,656.19
  4. Step 4: Simplify right side
    412,263.74x = 397,727,231,759.04
  5. Step 5: Solve for x
    x = 397,727,231,759.04/412,263.74
  6. Step 6: Final answer
    x = 964,739.79

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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.