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Finding the Third Proportional to 414,564.75 and 621,725.63

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Solution

The third proportional to 414,564.75 and 621,725.63 is: 932,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,564.75 : 621,725.63 = 621,725.63 : x
  2. Step 2: Convert to fraction form
    414,564.75/621,725.63 = 621,725.63/x
  3. Step 3: Cross multiply
    414,564.75x = 621,725.63 × 621,725.63
  4. Step 4: Simplify right side
    414,564.75x = 386,542,752,781.64
  5. Step 5: Solve for x
    x = 386,542,752,781.64/414,564.75
  6. Step 6: Final answer
    x = 932,406.22

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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.