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Finding the Third Proportional to 289,924 and 588,044

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Solution

The third proportional to 289,924 and 588,044 is: 1,192,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,924 : 588,044 = 588,044 : x
  2. Step 2: Convert to fraction form
    289,924/588,044 = 588,044/x
  3. Step 3: Cross multiply
    289,924x = 588,044 × 588,044
  4. Step 4: Simplify right side
    289,924x = 345,795,745,936
  5. Step 5: Solve for x
    x = 345,795,745,936/289,924
  6. Step 6: Final answer
    x = 1,192,711.70

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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.