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Finding the Third Proportional to 299,061 and 444,271

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Solution

The third proportional to 299,061 and 444,271 is: 659,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,061 : 444,271 = 444,271 : x
  2. Step 2: Convert to fraction form
    299,061/444,271 = 444,271/x
  3. Step 3: Cross multiply
    299,061x = 444,271 × 444,271
  4. Step 4: Simplify right side
    299,061x = 197,376,721,441
  5. Step 5: Solve for x
    x = 197,376,721,441/299,061
  6. Step 6: Final answer
    x = 659,988.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.