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Finding the Third Proportional to 235,360.69 and 483,129.56

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Solution

The third proportional to 235,360.69 and 483,129.56 is: 991,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,360.69 : 483,129.56 = 483,129.56 : x
  2. Step 2: Convert to fraction form
    235,360.69/483,129.56 = 483,129.56/x
  3. Step 3: Cross multiply
    235,360.69x = 483,129.56 × 483,129.56
  4. Step 4: Simplify right side
    235,360.69x = 233,414,174,161.44
  5. Step 5: Solve for x
    x = 233,414,174,161.44/235,360.69
  6. Step 6: Final answer
    x = 991,729.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.