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Finding the Third Proportional to 233,634 and 366,024

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Solution

The third proportional to 233,634 and 366,024 is: 573,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,634 : 366,024 = 366,024 : x
  2. Step 2: Convert to fraction form
    233,634/366,024 = 366,024/x
  3. Step 3: Cross multiply
    233,634x = 366,024 × 366,024
  4. Step 4: Simplify right side
    233,634x = 133,973,568,576
  5. Step 5: Solve for x
    x = 133,973,568,576/233,634
  6. Step 6: Final answer
    x = 573,433.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.