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Finding the Third Proportional to 363,078 and 727,614

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Solution

The third proportional to 363,078 and 727,614 is: 1,458,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,078 : 727,614 = 727,614 : x
  2. Step 2: Convert to fraction form
    363,078/727,614 = 727,614/x
  3. Step 3: Cross multiply
    363,078x = 727,614 × 727,614
  4. Step 4: Simplify right side
    363,078x = 529,422,132,996
  5. Step 5: Solve for x
    x = 529,422,132,996/363,078
  6. Step 6: Final answer
    x = 1,458,149.85

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.