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Finding the Third Proportional to 274,240 and 414,282

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Solution

The third proportional to 274,240 and 414,282 is: 625,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,240 : 414,282 = 414,282 : x
  2. Step 2: Convert to fraction form
    274,240/414,282 = 414,282/x
  3. Step 3: Cross multiply
    274,240x = 414,282 × 414,282
  4. Step 4: Simplify right side
    274,240x = 171,629,575,524
  5. Step 5: Solve for x
    x = 171,629,575,524/274,240
  6. Step 6: Final answer
    x = 625,837.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.