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Finding the Third Proportional to 320,385,372 and 496,319,010

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Solution

The third proportional to 320,385,372 and 496,319,010 is: 768,863,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,385,372 : 496,319,010 = 496,319,010 : x
  2. Step 2: Convert to fraction form
    320,385,372/496,319,010 = 496,319,010/x
  3. Step 3: Cross multiply
    320,385,372x = 496,319,010 × 496,319,010
  4. Step 4: Simplify right side
    320,385,372x = 246,332,559,687,380,096
  5. Step 5: Solve for x
    x = 246,332,559,687,380,096/320,385,372
  6. Step 6: Final answer
    x = 768,863,316.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.