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Finding the Third Proportional to 180,030 and 416,777

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Solution

The third proportional to 180,030 and 416,777 is: 964,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,030 : 416,777 = 416,777 : x
  2. Step 2: Convert to fraction form
    180,030/416,777 = 416,777/x
  3. Step 3: Cross multiply
    180,030x = 416,777 × 416,777
  4. Step 4: Simplify right side
    180,030x = 173,703,067,729
  5. Step 5: Solve for x
    x = 173,703,067,729/180,030
  6. Step 6: Final answer
    x = 964,856.23

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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.