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Finding the Third Proportional to 294,869 and 693,108

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Solution

The third proportional to 294,869 and 693,108 is: 1,629,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,869 : 693,108 = 693,108 : x
  2. Step 2: Convert to fraction form
    294,869/693,108 = 693,108/x
  3. Step 3: Cross multiply
    294,869x = 693,108 × 693,108
  4. Step 4: Simplify right side
    294,869x = 480,398,699,664
  5. Step 5: Solve for x
    x = 480,398,699,664/294,869
  6. Step 6: Final answer
    x = 1,629,193.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.