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Finding the Third Proportional to 412,616 and 627,353

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Solution

The third proportional to 412,616 and 627,353 is: 953,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,616 : 627,353 = 627,353 : x
  2. Step 2: Convert to fraction form
    412,616/627,353 = 627,353/x
  3. Step 3: Cross multiply
    412,616x = 627,353 × 627,353
  4. Step 4: Simplify right side
    412,616x = 393,571,786,609
  5. Step 5: Solve for x
    x = 393,571,786,609/412,616
  6. Step 6: Final answer
    x = 953,845.19

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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.