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Finding the Third Proportional to 317,962 and 681,993

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Solution

The third proportional to 317,962 and 681,993 is: 1,462,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,962 : 681,993 = 681,993 : x
  2. Step 2: Convert to fraction form
    317,962/681,993 = 681,993/x
  3. Step 3: Cross multiply
    317,962x = 681,993 × 681,993
  4. Step 4: Simplify right side
    317,962x = 465,114,452,049
  5. Step 5: Solve for x
    x = 465,114,452,049/317,962
  6. Step 6: Final answer
    x = 1,462,798.86

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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.