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Finding the Third Proportional to 368,192 and 819,328

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Solution

The third proportional to 368,192 and 819,328 is: 1,823,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,192 : 819,328 = 819,328 : x
  2. Step 2: Convert to fraction form
    368,192/819,328 = 819,328/x
  3. Step 3: Cross multiply
    368,192x = 819,328 × 819,328
  4. Step 4: Simplify right side
    368,192x = 671,298,371,584
  5. Step 5: Solve for x
    x = 671,298,371,584/368,192
  6. Step 6: Final answer
    x = 1,823,229.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.