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Finding the Third Proportional to 298,080 and 649,692

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Solution

The third proportional to 298,080 and 649,692 is: 1,416,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,080 : 649,692 = 649,692 : x
  2. Step 2: Convert to fraction form
    298,080/649,692 = 649,692/x
  3. Step 3: Cross multiply
    298,080x = 649,692 × 649,692
  4. Step 4: Simplify right side
    298,080x = 422,099,694,864
  5. Step 5: Solve for x
    x = 422,099,694,864/298,080
  6. Step 6: Final answer
    x = 1,416,061.78

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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.