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Finding the Third Proportional to 281,416 and 599,736

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Solution

The third proportional to 281,416 and 599,736 is: 1,278,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,416 : 599,736 = 599,736 : x
  2. Step 2: Convert to fraction form
    281,416/599,736 = 599,736/x
  3. Step 3: Cross multiply
    281,416x = 599,736 × 599,736
  4. Step 4: Simplify right side
    281,416x = 359,683,269,696
  5. Step 5: Solve for x
    x = 359,683,269,696/281,416
  6. Step 6: Final answer
    x = 1,278,119.47

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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.