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Finding the Third Proportional to 395,943 and 863,352

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Solution

The third proportional to 395,943 and 863,352 is: 1,882,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,943 : 863,352 = 863,352 : x
  2. Step 2: Convert to fraction form
    395,943/863,352 = 863,352/x
  3. Step 3: Cross multiply
    395,943x = 863,352 × 863,352
  4. Step 4: Simplify right side
    395,943x = 745,376,675,904
  5. Step 5: Solve for x
    x = 745,376,675,904/395,943
  6. Step 6: Final answer
    x = 1,882,535.30

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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.