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Finding the Third Proportional to 414,566 and 621,727

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Solution

The third proportional to 414,566 and 621,727 is: 932,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,566 : 621,727 = 621,727 : x
  2. Step 2: Convert to fraction form
    414,566/621,727 = 621,727/x
  3. Step 3: Cross multiply
    414,566x = 621,727 × 621,727
  4. Step 4: Simplify right side
    414,566x = 386,544,462,529
  5. Step 5: Solve for x
    x = 386,544,462,529/414,566
  6. Step 6: Final answer
    x = 932,407.54

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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.