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Finding the Third Proportional to 501,558 and 768,081

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Solution

The third proportional to 501,558 and 768,081 is: 1,176,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,558 : 768,081 = 768,081 : x
  2. Step 2: Convert to fraction form
    501,558/768,081 = 768,081/x
  3. Step 3: Cross multiply
    501,558x = 768,081 × 768,081
  4. Step 4: Simplify right side
    501,558x = 589,948,422,561
  5. Step 5: Solve for x
    x = 589,948,422,561/501,558
  6. Step 6: Final answer
    x = 1,176,231.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.