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Finding the Third Proportional to 314,907 and 682,302

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Solution

The third proportional to 314,907 and 682,302 is: 1,478,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,907 : 682,302 = 682,302 : x
  2. Step 2: Convert to fraction form
    314,907/682,302 = 682,302/x
  3. Step 3: Cross multiply
    314,907x = 682,302 × 682,302
  4. Step 4: Simplify right side
    314,907x = 465,536,019,204
  5. Step 5: Solve for x
    x = 465,536,019,204/314,907
  6. Step 6: Final answer
    x = 1,478,328.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.