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Finding the Third Proportional to 303,322,137.75 and 653,366,796.75

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Solution

The third proportional to 303,322,137.75 and 653,366,796.75 is: 1,407,375,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,322,137.75 : 653,366,796.75 = 653,366,796.75 : x
  2. Step 2: Convert to fraction form
    303,322,137.75/653,366,796.75 = 653,366,796.75/x
  3. Step 3: Cross multiply
    303,322,137.75x = 653,366,796.75 × 653,366,796.75
  4. Step 4: Simplify right side
    303,322,137.75x = 426,888,171,095,355,840
  5. Step 5: Solve for x
    x = 426,888,171,095,355,840/303,322,137.75
  6. Step 6: Final answer
    x = 1,407,375,585.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.