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Finding the Third Proportional to 590,948 and 836,257

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Solution

The third proportional to 590,948 and 836,257 is: 1,183,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,948 : 836,257 = 836,257 : x
  2. Step 2: Convert to fraction form
    590,948/836,257 = 836,257/x
  3. Step 3: Cross multiply
    590,948x = 836,257 × 836,257
  4. Step 4: Simplify right side
    590,948x = 699,325,770,049
  5. Step 5: Solve for x
    x = 699,325,770,049/590,948
  6. Step 6: Final answer
    x = 1,183,396.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.