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Finding the Third Proportional to 381,062 and 812,736

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Solution

The third proportional to 381,062 and 812,736 is: 1,733,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,062 : 812,736 = 812,736 : x
  2. Step 2: Convert to fraction form
    381,062/812,736 = 812,736/x
  3. Step 3: Cross multiply
    381,062x = 812,736 × 812,736
  4. Step 4: Simplify right side
    381,062x = 660,539,805,696
  5. Step 5: Solve for x
    x = 660,539,805,696/381,062
  6. Step 6: Final answer
    x = 1,733,418.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.