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Finding the Third Proportional to 422,506.50 and 939,464.50

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Solution

The third proportional to 422,506.50 and 939,464.50 is: 2,088,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,506.50 : 939,464.50 = 939,464.50 : x
  2. Step 2: Convert to fraction form
    422,506.50/939,464.50 = 939,464.50/x
  3. Step 3: Cross multiply
    422,506.50x = 939,464.50 × 939,464.50
  4. Step 4: Simplify right side
    422,506.50x = 882,593,546,760.25
  5. Step 5: Solve for x
    x = 882,593,546,760.25/422,506.50
  6. Step 6: Final answer
    x = 2,088,946.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.