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Finding the Third Proportional to 184,804 and 438,498

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Solution

The third proportional to 184,804 and 438,498 is: 1,040,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,804 : 438,498 = 438,498 : x
  2. Step 2: Convert to fraction form
    184,804/438,498 = 438,498/x
  3. Step 3: Cross multiply
    184,804x = 438,498 × 438,498
  4. Step 4: Simplify right side
    184,804x = 192,280,496,004
  5. Step 5: Solve for x
    x = 192,280,496,004/184,804
  6. Step 6: Final answer
    x = 1,040,456.35

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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.