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Finding the Third Proportional to 298,684 and 644,912

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Solution

The third proportional to 298,684 and 644,912 is: 1,392,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,684 : 644,912 = 644,912 : x
  2. Step 2: Convert to fraction form
    298,684/644,912 = 644,912/x
  3. Step 3: Cross multiply
    298,684x = 644,912 × 644,912
  4. Step 4: Simplify right side
    298,684x = 415,911,487,744
  5. Step 5: Solve for x
    x = 415,911,487,744/298,684
  6. Step 6: Final answer
    x = 1,392,479.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.