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Finding the Third Proportional to 314,662 and 681,794

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Solution

The third proportional to 314,662 and 681,794 is: 1,477,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,662 : 681,794 = 681,794 : x
  2. Step 2: Convert to fraction form
    314,662/681,794 = 681,794/x
  3. Step 3: Cross multiply
    314,662x = 681,794 × 681,794
  4. Step 4: Simplify right side
    314,662x = 464,843,058,436
  5. Step 5: Solve for x
    x = 464,843,058,436/314,662
  6. Step 6: Final answer
    x = 1,477,277.39

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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.