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Finding the Third Proportional to 369,962 and 795,166

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Solution

The third proportional to 369,962 and 795,166 is: 1,709,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,962 : 795,166 = 795,166 : x
  2. Step 2: Convert to fraction form
    369,962/795,166 = 795,166/x
  3. Step 3: Cross multiply
    369,962x = 795,166 × 795,166
  4. Step 4: Simplify right side
    369,962x = 632,288,967,556
  5. Step 5: Solve for x
    x = 632,288,967,556/369,962
  6. Step 6: Final answer
    x = 1,709,064.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.