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Finding the Third Proportional to 120,004 and 282,917

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Solution

The third proportional to 120,004 and 282,917 is: 666,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,004 : 282,917 = 282,917 : x
  2. Step 2: Convert to fraction form
    120,004/282,917 = 282,917/x
  3. Step 3: Cross multiply
    120,004x = 282,917 × 282,917
  4. Step 4: Simplify right side
    120,004x = 80,042,028,889
  5. Step 5: Solve for x
    x = 80,042,028,889/120,004
  6. Step 6: Final answer
    x = 666,994.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.