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Finding the Third Proportional to 181,577 and 397,606

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Solution

The third proportional to 181,577 and 397,606 is: 870,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,577 : 397,606 = 397,606 : x
  2. Step 2: Convert to fraction form
    181,577/397,606 = 397,606/x
  3. Step 3: Cross multiply
    181,577x = 397,606 × 397,606
  4. Step 4: Simplify right side
    181,577x = 158,090,531,236
  5. Step 5: Solve for x
    x = 158,090,531,236/181,577
  6. Step 6: Final answer
    x = 870,652.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.