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Finding the Third Proportional to 395,210 and 867,236

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Solution

The third proportional to 395,210 and 867,236 is: 1,903,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,210 : 867,236 = 867,236 : x
  2. Step 2: Convert to fraction form
    395,210/867,236 = 867,236/x
  3. Step 3: Cross multiply
    395,210x = 867,236 × 867,236
  4. Step 4: Simplify right side
    395,210x = 752,098,279,696
  5. Step 5: Solve for x
    x = 752,098,279,696/395,210
  6. Step 6: Final answer
    x = 1,903,034.54

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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.