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Finding the Third Proportional to 447,210 and 669,042

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Solution

The third proportional to 447,210 and 669,042 is: 1,000,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,210 : 669,042 = 669,042 : x
  2. Step 2: Convert to fraction form
    447,210/669,042 = 669,042/x
  3. Step 3: Cross multiply
    447,210x = 669,042 × 669,042
  4. Step 4: Simplify right side
    447,210x = 447,617,197,764
  5. Step 5: Solve for x
    x = 447,617,197,764/447,210
  6. Step 6: Final answer
    x = 1,000,910.53

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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.