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Finding the Third Proportional to 322,128 and 699,615

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Solution

The third proportional to 322,128 and 699,615 is: 1,519,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,128 : 699,615 = 699,615 : x
  2. Step 2: Convert to fraction form
    322,128/699,615 = 699,615/x
  3. Step 3: Cross multiply
    322,128x = 699,615 × 699,615
  4. Step 4: Simplify right side
    322,128x = 489,461,148,225
  5. Step 5: Solve for x
    x = 489,461,148,225/322,128
  6. Step 6: Final answer
    x = 1,519,461.67

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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.