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Finding the Third Proportional to 180,577 and 388,904

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Solution

The third proportional to 180,577 and 388,904 is: 837,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,577 : 388,904 = 388,904 : x
  2. Step 2: Convert to fraction form
    180,577/388,904 = 388,904/x
  3. Step 3: Cross multiply
    180,577x = 388,904 × 388,904
  4. Step 4: Simplify right side
    180,577x = 151,246,321,216
  5. Step 5: Solve for x
    x = 151,246,321,216/180,577
  6. Step 6: Final answer
    x = 837,572.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.