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Finding the Third Proportional to 207,236 and 447,556

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Solution

The third proportional to 207,236 and 447,556 is: 966,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,236 : 447,556 = 447,556 : x
  2. Step 2: Convert to fraction form
    207,236/447,556 = 447,556/x
  3. Step 3: Cross multiply
    207,236x = 447,556 × 447,556
  4. Step 4: Simplify right side
    207,236x = 200,306,373,136
  5. Step 5: Solve for x
    x = 200,306,373,136/207,236
  6. Step 6: Final answer
    x = 966,561.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.