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Finding the Third Proportional to 446,066 and 669,235

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Solution

The third proportional to 446,066 and 669,235 is: 1,004,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,066 : 669,235 = 669,235 : x
  2. Step 2: Convert to fraction form
    446,066/669,235 = 669,235/x
  3. Step 3: Cross multiply
    446,066x = 669,235 × 669,235
  4. Step 4: Simplify right side
    446,066x = 447,875,485,225
  5. Step 5: Solve for x
    x = 447,875,485,225/446,066
  6. Step 6: Final answer
    x = 1,004,056.54

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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.