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Finding the Third Proportional to 336,615 and 726,732

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Solution

The third proportional to 336,615 and 726,732 is: 1,568,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,615 : 726,732 = 726,732 : x
  2. Step 2: Convert to fraction form
    336,615/726,732 = 726,732/x
  3. Step 3: Cross multiply
    336,615x = 726,732 × 726,732
  4. Step 4: Simplify right side
    336,615x = 528,139,399,824
  5. Step 5: Solve for x
    x = 528,139,399,824/336,615
  6. Step 6: Final answer
    x = 1,568,971.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.