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Finding the Third Proportional to 414,563.63 and 621,723.94

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Solution

The third proportional to 414,563.63 and 621,723.94 is: 932,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,563.63 : 621,723.94 = 621,723.94 : x
  2. Step 2: Convert to fraction form
    414,563.63/621,723.94 = 621,723.94/x
  3. Step 3: Cross multiply
    414,563.63x = 621,723.94 × 621,723.94
  4. Step 4: Simplify right side
    414,563.63x = 386,540,654,460.50
  5. Step 5: Solve for x
    x = 386,540,654,460.50/414,563.63
  6. Step 6: Final answer
    x = 932,403.69

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Why These Related Problems?

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