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Finding the Third Proportional to 289,097 and 444,918

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Solution

The third proportional to 289,097 and 444,918 is: 684,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,097 : 444,918 = 444,918 : x
  2. Step 2: Convert to fraction form
    289,097/444,918 = 444,918/x
  3. Step 3: Cross multiply
    289,097x = 444,918 × 444,918
  4. Step 4: Simplify right side
    289,097x = 197,952,026,724
  5. Step 5: Solve for x
    x = 197,952,026,724/289,097
  6. Step 6: Final answer
    x = 684,725.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.