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Finding the Third Proportional to 414,094 and 621,580

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Solution

The third proportional to 414,094 and 621,580 is: 933,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,094 : 621,580 = 621,580 : x
  2. Step 2: Convert to fraction form
    414,094/621,580 = 621,580/x
  3. Step 3: Cross multiply
    414,094x = 621,580 × 621,580
  4. Step 4: Simplify right side
    414,094x = 386,361,696,400
  5. Step 5: Solve for x
    x = 386,361,696,400/414,094
  6. Step 6: Final answer
    x = 933,028.97

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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.