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Finding the Third Proportional to 180,012 and 416,742

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Solution

The third proportional to 180,012 and 416,742 is: 964,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,012 : 416,742 = 416,742 : x
  2. Step 2: Convert to fraction form
    180,012/416,742 = 416,742/x
  3. Step 3: Cross multiply
    180,012x = 416,742 × 416,742
  4. Step 4: Simplify right side
    180,012x = 173,673,894,564
  5. Step 5: Solve for x
    x = 173,673,894,564/180,012
  6. Step 6: Final answer
    x = 964,790.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.