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Finding the Third Proportional to 345,373,383 and 704,620,391

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Solution

The third proportional to 345,373,383 and 704,620,391 is: 1,437,545,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,373,383 : 704,620,391 = 704,620,391 : x
  2. Step 2: Convert to fraction form
    345,373,383/704,620,391 = 704,620,391/x
  3. Step 3: Cross multiply
    345,373,383x = 704,620,391 × 704,620,391
  4. Step 4: Simplify right side
    345,373,383x = 496,489,895,412,992,896
  5. Step 5: Solve for x
    x = 496,489,895,412,992,896/345,373,383
  6. Step 6: Final answer
    x = 1,437,545,334.56

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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.