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Finding the Third Proportional to 183,027 and 427,593

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Solution

The third proportional to 183,027 and 427,593 is: 998,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,027 : 427,593 = 427,593 : x
  2. Step 2: Convert to fraction form
    183,027/427,593 = 427,593/x
  3. Step 3: Cross multiply
    183,027x = 427,593 × 427,593
  4. Step 4: Simplify right side
    183,027x = 182,835,773,649
  5. Step 5: Solve for x
    x = 182,835,773,649/183,027
  6. Step 6: Final answer
    x = 998,955.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.