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Finding the Third Proportional to 294,867 and 693,102

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Solution

The third proportional to 294,867 and 693,102 is: 1,629,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,867 : 693,102 = 693,102 : x
  2. Step 2: Convert to fraction form
    294,867/693,102 = 693,102/x
  3. Step 3: Cross multiply
    294,867x = 693,102 × 693,102
  4. Step 4: Simplify right side
    294,867x = 480,390,382,404
  5. Step 5: Solve for x
    x = 480,390,382,404/294,867
  6. Step 6: Final answer
    x = 1,629,176.48

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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.