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Finding the Third Proportional to 180,008 and 416,732

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Solution

The third proportional to 180,008 and 416,732 is: 964,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,008 : 416,732 = 416,732 : x
  2. Step 2: Convert to fraction form
    180,008/416,732 = 416,732/x
  3. Step 3: Cross multiply
    180,008x = 416,732 × 416,732
  4. Step 4: Simplify right side
    180,008x = 173,665,559,824
  5. Step 5: Solve for x
    x = 173,665,559,824/180,008
  6. Step 6: Final answer
    x = 964,765.79

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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.