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Finding the Third Proportional to 298,658 and 644,822

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Solution

The third proportional to 298,658 and 644,822 is: 1,392,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,658 : 644,822 = 644,822 : x
  2. Step 2: Convert to fraction form
    298,658/644,822 = 644,822/x
  3. Step 3: Cross multiply
    298,658x = 644,822 × 644,822
  4. Step 4: Simplify right side
    298,658x = 415,795,411,684
  5. Step 5: Solve for x
    x = 415,795,411,684/298,658
  6. Step 6: Final answer
    x = 1,392,212.54

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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.