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Finding the Third Proportional to 289,936 and 588,020

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Solution

The third proportional to 289,936 and 588,020 is: 1,192,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,936 : 588,020 = 588,020 : x
  2. Step 2: Convert to fraction form
    289,936/588,020 = 588,020/x
  3. Step 3: Cross multiply
    289,936x = 588,020 × 588,020
  4. Step 4: Simplify right side
    289,936x = 345,767,520,400
  5. Step 5: Solve for x
    x = 345,767,520,400/289,936
  6. Step 6: Final answer
    x = 1,192,564.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.