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Finding the Third Proportional to 598,364 and 1,280,800

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Solution

The third proportional to 598,364 and 1,280,800 is: 2,741,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,364 : 1,280,800 = 1,280,800 : x
  2. Step 2: Convert to fraction form
    598,364/1,280,800 = 1,280,800/x
  3. Step 3: Cross multiply
    598,364x = 1,280,800 × 1,280,800
  4. Step 4: Simplify right side
    598,364x = 1,640,448,640,000
  5. Step 5: Solve for x
    x = 1,640,448,640,000/598,364
  6. Step 6: Final answer
    x = 2,741,556.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.