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Finding the Third Proportional to 408,300 and 865,194

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Solution

The third proportional to 408,300 and 865,194 is: 1,833,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,300 : 865,194 = 865,194 : x
  2. Step 2: Convert to fraction form
    408,300/865,194 = 865,194/x
  3. Step 3: Cross multiply
    408,300x = 865,194 × 865,194
  4. Step 4: Simplify right side
    408,300x = 748,560,657,636
  5. Step 5: Solve for x
    x = 748,560,657,636/408,300
  6. Step 6: Final answer
    x = 1,833,359.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.