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Finding the Third Proportional to 395,946 and 863,360

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Solution

The third proportional to 395,946 and 863,360 is: 1,882,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,946 : 863,360 = 863,360 : x
  2. Step 2: Convert to fraction form
    395,946/863,360 = 863,360/x
  3. Step 3: Cross multiply
    395,946x = 863,360 × 863,360
  4. Step 4: Simplify right side
    395,946x = 745,390,489,600
  5. Step 5: Solve for x
    x = 745,390,489,600/395,946
  6. Step 6: Final answer
    x = 1,882,555.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.