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Finding the Third Proportional to 180,002 and 416,717

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Solution

The third proportional to 180,002 and 416,717 is: 964,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,002 : 416,717 = 416,717 : x
  2. Step 2: Convert to fraction form
    180,002/416,717 = 416,717/x
  3. Step 3: Cross multiply
    180,002x = 416,717 × 416,717
  4. Step 4: Simplify right side
    180,002x = 173,653,058,089
  5. Step 5: Solve for x
    x = 173,653,058,089/180,002
  6. Step 6: Final answer
    x = 964,728.49

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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.