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Finding the Third Proportional to 298,098 and 638,852

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Solution

The third proportional to 298,098 and 638,852 is: 1,369,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,098 : 638,852 = 638,852 : x
  2. Step 2: Convert to fraction form
    298,098/638,852 = 638,852/x
  3. Step 3: Cross multiply
    298,098x = 638,852 × 638,852
  4. Step 4: Simplify right side
    298,098x = 408,131,877,904
  5. Step 5: Solve for x
    x = 408,131,877,904/298,098
  6. Step 6: Final answer
    x = 1,369,119.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.