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Finding the Third Proportional to 370,384,975 and 504,487,005

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Solution

The third proportional to 370,384,975 and 504,487,005 is: 687,142,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,384,975 : 504,487,005 = 504,487,005 : x
  2. Step 2: Convert to fraction form
    370,384,975/504,487,005 = 504,487,005/x
  3. Step 3: Cross multiply
    370,384,975x = 504,487,005 × 504,487,005
  4. Step 4: Simplify right side
    370,384,975x = 254,507,138,213,870,016
  5. Step 5: Solve for x
    x = 254,507,138,213,870,016/370,384,975
  6. Step 6: Final answer
    x = 687,142,177.44

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.