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Finding the Third Proportional to 180,984 and 389,586

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Solution

The third proportional to 180,984 and 389,586 is: 838,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,984 : 389,586 = 389,586 : x
  2. Step 2: Convert to fraction form
    180,984/389,586 = 389,586/x
  3. Step 3: Cross multiply
    180,984x = 389,586 × 389,586
  4. Step 4: Simplify right side
    180,984x = 151,777,251,396
  5. Step 5: Solve for x
    x = 151,777,251,396/180,984
  6. Step 6: Final answer
    x = 838,622.48

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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.