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Finding the Third Proportional to 296,611 and 699,881

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Solution

The third proportional to 296,611 and 699,881 is: 1,651,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,611 : 699,881 = 699,881 : x
  2. Step 2: Convert to fraction form
    296,611/699,881 = 699,881/x
  3. Step 3: Cross multiply
    296,611x = 699,881 × 699,881
  4. Step 4: Simplify right side
    296,611x = 489,833,414,161
  5. Step 5: Solve for x
    x = 489,833,414,161/296,611
  6. Step 6: Final answer
    x = 1,651,433.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.