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Finding the Third Proportional to 345,373,381 and 704,620,387

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Solution

The third proportional to 345,373,381 and 704,620,387 is: 1,437,545,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,373,381 : 704,620,387 = 704,620,387 : x
  2. Step 2: Convert to fraction form
    345,373,381/704,620,387 = 704,620,387/x
  3. Step 3: Cross multiply
    345,373,381x = 704,620,387 × 704,620,387
  4. Step 4: Simplify right side
    345,373,381x = 496,489,889,776,029,760
  5. Step 5: Solve for x
    x = 496,489,889,776,029,760/345,373,381
  6. Step 6: Final answer
    x = 1,437,545,326.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.