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Finding the Third Proportional to 184,815 and 438,522

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Solution

The third proportional to 184,815 and 438,522 is: 1,040,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,815 : 438,522 = 438,522 : x
  2. Step 2: Convert to fraction form
    184,815/438,522 = 438,522/x
  3. Step 3: Cross multiply
    184,815x = 438,522 × 438,522
  4. Step 4: Simplify right side
    184,815x = 192,301,544,484
  5. Step 5: Solve for x
    x = 192,301,544,484/184,815
  6. Step 6: Final answer
    x = 1,040,508.32

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.