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Finding the Third Proportional to 274,364 and 599,001

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Solution

The third proportional to 274,364 and 599,001 is: 1,307,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,364 : 599,001 = 599,001 : x
  2. Step 2: Convert to fraction form
    274,364/599,001 = 599,001/x
  3. Step 3: Cross multiply
    274,364x = 599,001 × 599,001
  4. Step 4: Simplify right side
    274,364x = 358,802,198,001
  5. Step 5: Solve for x
    x = 358,802,198,001/274,364
  6. Step 6: Final answer
    x = 1,307,759.76

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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.