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Finding the Third Proportional to 370,305,168 and 504,372,942

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Solution

The third proportional to 370,305,168 and 504,372,942 is: 686,979,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,305,168 : 504,372,942 = 504,372,942 : x
  2. Step 2: Convert to fraction form
    370,305,168/504,372,942 = 504,372,942/x
  3. Step 3: Cross multiply
    370,305,168x = 504,372,942 × 504,372,942
  4. Step 4: Simplify right side
    370,305,168x = 254,392,064,621,735,360
  5. Step 5: Solve for x
    x = 254,392,064,621,735,360/370,305,168
  6. Step 6: Final answer
    x = 686,979,514.75

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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.