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Finding the Third Proportional to 389,108 and 838,255

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Solution

The third proportional to 389,108 and 838,255 is: 1,805,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,108 : 838,255 = 838,255 : x
  2. Step 2: Convert to fraction form
    389,108/838,255 = 838,255/x
  3. Step 3: Cross multiply
    389,108x = 838,255 × 838,255
  4. Step 4: Simplify right side
    389,108x = 702,671,445,025
  5. Step 5: Solve for x
    x = 702,671,445,025/389,108
  6. Step 6: Final answer
    x = 1,805,851.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.