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Finding the Third Proportional to 298,370 and 649,174

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Solution

The third proportional to 298,370 and 649,174 is: 1,412,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,370 : 649,174 = 649,174 : x
  2. Step 2: Convert to fraction form
    298,370/649,174 = 649,174/x
  3. Step 3: Cross multiply
    298,370x = 649,174 × 649,174
  4. Step 4: Simplify right side
    298,370x = 421,426,882,276
  5. Step 5: Solve for x
    x = 421,426,882,276/298,370
  6. Step 6: Final answer
    x = 1,412,430.48

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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.