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Finding the Third Proportional to 216,615.30 and 483,036.75

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Solution

The third proportional to 216,615.30 and 483,036.75 is: 1,077,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,615.30 : 483,036.75 = 483,036.75 : x
  2. Step 2: Convert to fraction form
    216,615.30/483,036.75 = 483,036.75/x
  3. Step 3: Cross multiply
    216,615.30x = 483,036.75 × 483,036.75
  4. Step 4: Simplify right side
    216,615.30x = 233,324,501,850.56
  5. Step 5: Solve for x
    x = 233,324,501,850.56/216,615.30
  6. Step 6: Final answer
    x = 1,077,137.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.