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Finding the Third Proportional to 446,262 and 624,183

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Solution

The third proportional to 446,262 and 624,183 is: 873,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,262 : 624,183 = 624,183 : x
  2. Step 2: Convert to fraction form
    446,262/624,183 = 624,183/x
  3. Step 3: Cross multiply
    446,262x = 624,183 × 624,183
  4. Step 4: Simplify right side
    446,262x = 389,604,417,489
  5. Step 5: Solve for x
    x = 389,604,417,489/446,262
  6. Step 6: Final answer
    x = 873,039.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.