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Finding the Third Proportional to 393,576 and 861,024

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Solution

The third proportional to 393,576 and 861,024 is: 1,883,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,576 : 861,024 = 861,024 : x
  2. Step 2: Convert to fraction form
    393,576/861,024 = 861,024/x
  3. Step 3: Cross multiply
    393,576x = 861,024 × 861,024
  4. Step 4: Simplify right side
    393,576x = 741,362,328,576
  5. Step 5: Solve for x
    x = 741,362,328,576/393,576
  6. Step 6: Final answer
    x = 1,883,657.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.