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Finding the Third Proportional to 395,194 and 865,340

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Solution

The third proportional to 395,194 and 865,340 is: 1,894,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,194 : 865,340 = 865,340 : x
  2. Step 2: Convert to fraction form
    395,194/865,340 = 865,340/x
  3. Step 3: Cross multiply
    395,194x = 865,340 × 865,340
  4. Step 4: Simplify right side
    395,194x = 748,813,315,600
  5. Step 5: Solve for x
    x = 748,813,315,600/395,194
  6. Step 6: Final answer
    x = 1,894,799.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.