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Finding the Third Proportional to 253,436 and 589,302

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Solution

The third proportional to 253,436 and 589,302 is: 1,370,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,436 : 589,302 = 589,302 : x
  2. Step 2: Convert to fraction form
    253,436/589,302 = 589,302/x
  3. Step 3: Cross multiply
    253,436x = 589,302 × 589,302
  4. Step 4: Simplify right side
    253,436x = 347,276,847,204
  5. Step 5: Solve for x
    x = 347,276,847,204/253,436
  6. Step 6: Final answer
    x = 1,370,274.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.