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Finding the Third Proportional to 274,357 and 598,988

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Solution

The third proportional to 274,357 and 598,988 is: 1,307,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,357 : 598,988 = 598,988 : x
  2. Step 2: Convert to fraction form
    274,357/598,988 = 598,988/x
  3. Step 3: Cross multiply
    274,357x = 598,988 × 598,988
  4. Step 4: Simplify right side
    274,357x = 358,786,624,144
  5. Step 5: Solve for x
    x = 358,786,624,144/274,357
  6. Step 6: Final answer
    x = 1,307,736.36

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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.