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Finding the Third Proportional to 274,230 and 416,636

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Solution

The third proportional to 274,230 and 416,636 is: 632,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,230 : 416,636 = 416,636 : x
  2. Step 2: Convert to fraction form
    274,230/416,636 = 416,636/x
  3. Step 3: Cross multiply
    274,230x = 416,636 × 416,636
  4. Step 4: Simplify right side
    274,230x = 173,585,556,496
  5. Step 5: Solve for x
    x = 173,585,556,496/274,230
  6. Step 6: Final answer
    x = 632,992.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.