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Finding the Third Proportional to 319,627 and 682,994

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Solution

The third proportional to 319,627 and 682,994 is: 1,459,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,627 : 682,994 = 682,994 : x
  2. Step 2: Convert to fraction form
    319,627/682,994 = 682,994/x
  3. Step 3: Cross multiply
    319,627x = 682,994 × 682,994
  4. Step 4: Simplify right side
    319,627x = 466,480,804,036
  5. Step 5: Solve for x
    x = 466,480,804,036/319,627
  6. Step 6: Final answer
    x = 1,459,453.69

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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.