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Finding the Third Proportional to 414,567 and 621,728.63

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Solution

The third proportional to 414,567 and 621,728.63 is: 932,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,567 : 621,728.63 = 621,728.63 : x
  2. Step 2: Convert to fraction form
    414,567/621,728.63 = 621,728.63/x
  3. Step 3: Cross multiply
    414,567x = 621,728.63 × 621,728.63
  4. Step 4: Simplify right side
    414,567x = 386,546,483,144.39
  5. Step 5: Solve for x
    x = 386,546,483,144.39/414,567
  6. Step 6: Final answer
    x = 932,410.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.