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Finding the Third Proportional to 270,441 and 584,250

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Solution

The third proportional to 270,441 and 584,250 is: 1,262,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,441 : 584,250 = 584,250 : x
  2. Step 2: Convert to fraction form
    270,441/584,250 = 584,250/x
  3. Step 3: Cross multiply
    270,441x = 584,250 × 584,250
  4. Step 4: Simplify right side
    270,441x = 341,348,062,500
  5. Step 5: Solve for x
    x = 341,348,062,500/270,441
  6. Step 6: Final answer
    x = 1,262,190.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.