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Finding the Third Proportional to 383,978 and 540,488

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Solution

The third proportional to 383,978 and 540,488 is: 760,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,978 : 540,488 = 540,488 : x
  2. Step 2: Convert to fraction form
    383,978/540,488 = 540,488/x
  3. Step 3: Cross multiply
    383,978x = 540,488 × 540,488
  4. Step 4: Simplify right side
    383,978x = 292,127,278,144
  5. Step 5: Solve for x
    x = 292,127,278,144/383,978
  6. Step 6: Final answer
    x = 760,791.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.