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Finding the Third Proportional to 331,116 and 701,676

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Solution

The third proportional to 331,116 and 701,676 is: 1,486,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,116 : 701,676 = 701,676 : x
  2. Step 2: Convert to fraction form
    331,116/701,676 = 701,676/x
  3. Step 3: Cross multiply
    331,116x = 701,676 × 701,676
  4. Step 4: Simplify right side
    331,116x = 492,349,208,976
  5. Step 5: Solve for x
    x = 492,349,208,976/331,116
  6. Step 6: Final answer
    x = 1,486,938.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.