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Finding the Third Proportional to 301,100.63 and 408,727.69

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Solution

The third proportional to 301,100.63 and 408,727.69 is: 554,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,100.63 : 408,727.69 = 408,727.69 : x
  2. Step 2: Convert to fraction form
    301,100.63/408,727.69 = 408,727.69/x
  3. Step 3: Cross multiply
    301,100.63x = 408,727.69 × 408,727.69
  4. Step 4: Simplify right side
    301,100.63x = 167,058,322,529.10
  5. Step 5: Solve for x
    x = 167,058,322,529.10/301,100.63
  6. Step 6: Final answer
    x = 554,825.56

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.