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Finding the Third Proportional to 395,527 and 819,080

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Solution

The third proportional to 395,527 and 819,080 is: 1,696,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,527 : 819,080 = 819,080 : x
  2. Step 2: Convert to fraction form
    395,527/819,080 = 819,080/x
  3. Step 3: Cross multiply
    395,527x = 819,080 × 819,080
  4. Step 4: Simplify right side
    395,527x = 670,892,046,400
  5. Step 5: Solve for x
    x = 670,892,046,400/395,527
  6. Step 6: Final answer
    x = 1,696,197.85

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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.