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Finding the Third Proportional to 298,380 and 649,228

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Solution

The third proportional to 298,380 and 649,228 is: 1,412,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,380 : 649,228 = 649,228 : x
  2. Step 2: Convert to fraction form
    298,380/649,228 = 649,228/x
  3. Step 3: Cross multiply
    298,380x = 649,228 × 649,228
  4. Step 4: Simplify right side
    298,380x = 421,496,995,984
  5. Step 5: Solve for x
    x = 421,496,995,984/298,380
  6. Step 6: Final answer
    x = 1,412,618.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.