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Finding the Third Proportional to 489,194 and 675,954

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Solution

The third proportional to 489,194 and 675,954 is: 934,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,194 : 675,954 = 675,954 : x
  2. Step 2: Convert to fraction form
    489,194/675,954 = 675,954/x
  3. Step 3: Cross multiply
    489,194x = 675,954 × 675,954
  4. Step 4: Simplify right side
    489,194x = 456,913,810,116
  5. Step 5: Solve for x
    x = 456,913,810,116/489,194
  6. Step 6: Final answer
    x = 934,013.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.