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Finding the Third Proportional to 302,972,485.50 and 654,372,414

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Solution

The third proportional to 302,972,485.50 and 654,372,414 is: 1,413,340,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,972,485.50 : 654,372,414 = 654,372,414 : x
  2. Step 2: Convert to fraction form
    302,972,485.50/654,372,414 = 654,372,414/x
  3. Step 3: Cross multiply
    302,972,485.50x = 654,372,414 × 654,372,414
  4. Step 4: Simplify right side
    302,972,485.50x = 428,203,256,204,187,392
  5. Step 5: Solve for x
    x = 428,203,256,204,187,392/302,972,485.50
  6. Step 6: Final answer
    x = 1,413,340,407.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.