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Finding the Third Proportional to 393,504 and 857,082

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Solution

The third proportional to 393,504 and 857,082 is: 1,866,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,504 : 857,082 = 857,082 : x
  2. Step 2: Convert to fraction form
    393,504/857,082 = 857,082/x
  3. Step 3: Cross multiply
    393,504x = 857,082 × 857,082
  4. Step 4: Simplify right side
    393,504x = 734,589,554,724
  5. Step 5: Solve for x
    x = 734,589,554,724/393,504
  6. Step 6: Final answer
    x = 1,866,790.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.