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Finding the Third Proportional to 395,508.50 and 819,055

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Solution

The third proportional to 395,508.50 and 819,055 is: 1,696,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,508.50 : 819,055 = 819,055 : x
  2. Step 2: Convert to fraction form
    395,508.50/819,055 = 819,055/x
  3. Step 3: Cross multiply
    395,508.50x = 819,055 × 819,055
  4. Step 4: Simplify right side
    395,508.50x = 670,851,093,025
  5. Step 5: Solve for x
    x = 670,851,093,025/395,508.50
  6. Step 6: Final answer
    x = 1,696,173.64

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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.