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Finding the Third Proportional to 274,360 and 598,993

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Solution

The third proportional to 274,360 and 598,993 is: 1,307,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,360 : 598,993 = 598,993 : x
  2. Step 2: Convert to fraction form
    274,360/598,993 = 598,993/x
  3. Step 3: Cross multiply
    274,360x = 598,993 × 598,993
  4. Step 4: Simplify right side
    274,360x = 358,792,614,049
  5. Step 5: Solve for x
    x = 358,792,614,049/274,360
  6. Step 6: Final answer
    x = 1,307,743.89

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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.