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Finding the Third Proportional to 289,441 and 447,287

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Solution

The third proportional to 289,441 and 447,287 is: 691,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,441 : 447,287 = 447,287 : x
  2. Step 2: Convert to fraction form
    289,441/447,287 = 447,287/x
  3. Step 3: Cross multiply
    289,441x = 447,287 × 447,287
  4. Step 4: Simplify right side
    289,441x = 200,065,660,369
  5. Step 5: Solve for x
    x = 200,065,660,369/289,441
  6. Step 6: Final answer
    x = 691,213.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.