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Finding the Third Proportional to 253,560,392 and 380,946,252

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Solution

The third proportional to 253,560,392 and 380,946,252 is: 572,329,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,560,392 : 380,946,252 = 380,946,252 : x
  2. Step 2: Convert to fraction form
    253,560,392/380,946,252 = 380,946,252/x
  3. Step 3: Cross multiply
    253,560,392x = 380,946,252 × 380,946,252
  4. Step 4: Simplify right side
    253,560,392x = 145,120,046,912,847,488
  5. Step 5: Solve for x
    x = 145,120,046,912,847,488/253,560,392
  6. Step 6: Final answer
    x = 572,329,320.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.