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Finding the Third Proportional to 354,100 and 548,286

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Solution

The third proportional to 354,100 and 548,286 is: 848,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,100 : 548,286 = 548,286 : x
  2. Step 2: Convert to fraction form
    354,100/548,286 = 548,286/x
  3. Step 3: Cross multiply
    354,100x = 548,286 × 548,286
  4. Step 4: Simplify right side
    354,100x = 300,617,537,796
  5. Step 5: Solve for x
    x = 300,617,537,796/354,100
  6. Step 6: Final answer
    x = 848,962.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.