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Finding the Third Proportional to 184,629 and 401,658

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Solution

The third proportional to 184,629 and 401,658 is: 873,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,629 : 401,658 = 401,658 : x
  2. Step 2: Convert to fraction form
    184,629/401,658 = 401,658/x
  3. Step 3: Cross multiply
    184,629x = 401,658 × 401,658
  4. Step 4: Simplify right side
    184,629x = 161,329,148,964
  5. Step 5: Solve for x
    x = 161,329,148,964/184,629
  6. Step 6: Final answer
    x = 873,801.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.