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Finding the Third Proportional to 320,385,366 and 496,319,001

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Solution

The third proportional to 320,385,366 and 496,319,001 is: 768,863,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,385,366 : 496,319,001 = 496,319,001 : x
  2. Step 2: Convert to fraction form
    320,385,366/496,319,001 = 496,319,001/x
  3. Step 3: Cross multiply
    320,385,366x = 496,319,001 × 496,319,001
  4. Step 4: Simplify right side
    320,385,366x = 246,332,550,753,638,016
  5. Step 5: Solve for x
    x = 246,332,550,753,638,016/320,385,366
  6. Step 6: Final answer
    x = 768,863,303.06

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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.