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Finding the Third Proportional to 289,929 and 588,054

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Solution

The third proportional to 289,929 and 588,054 is: 1,192,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,929 : 588,054 = 588,054 : x
  2. Step 2: Convert to fraction form
    289,929/588,054 = 588,054/x
  3. Step 3: Cross multiply
    289,929x = 588,054 × 588,054
  4. Step 4: Simplify right side
    289,929x = 345,807,506,916
  5. Step 5: Solve for x
    x = 345,807,506,916/289,929
  6. Step 6: Final answer
    x = 1,192,731.69

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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.