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Finding the Third Proportional to 386,194 and 807,697

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Solution

The third proportional to 386,194 and 807,697 is: 1,689,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,194 : 807,697 = 807,697 : x
  2. Step 2: Convert to fraction form
    386,194/807,697 = 807,697/x
  3. Step 3: Cross multiply
    386,194x = 807,697 × 807,697
  4. Step 4: Simplify right side
    386,194x = 652,374,443,809
  5. Step 5: Solve for x
    x = 652,374,443,809/386,194
  6. Step 6: Final answer
    x = 1,689,240.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.