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Finding the Third Proportional to 598,264 and 1,280,625

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Solution

The third proportional to 598,264 and 1,280,625 is: 2,741,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,264 : 1,280,625 = 1,280,625 : x
  2. Step 2: Convert to fraction form
    598,264/1,280,625 = 1,280,625/x
  3. Step 3: Cross multiply
    598,264x = 1,280,625 × 1,280,625
  4. Step 4: Simplify right side
    598,264x = 1,640,000,390,625
  5. Step 5: Solve for x
    x = 1,640,000,390,625/598,264
  6. Step 6: Final answer
    x = 2,741,265.38

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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.