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Finding the Third Proportional to 395,513 and 819,064

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Solution

The third proportional to 395,513 and 819,064 is: 1,696,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,513 : 819,064 = 819,064 : x
  2. Step 2: Convert to fraction form
    395,513/819,064 = 819,064/x
  3. Step 3: Cross multiply
    395,513x = 819,064 × 819,064
  4. Step 4: Simplify right side
    395,513x = 670,865,836,096
  5. Step 5: Solve for x
    x = 670,865,836,096/395,513
  6. Step 6: Final answer
    x = 1,696,191.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.