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Finding the Third Proportional to 355,194 and 760,770

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Solution

The third proportional to 355,194 and 760,770 is: 1,629,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,194 : 760,770 = 760,770 : x
  2. Step 2: Convert to fraction form
    355,194/760,770 = 760,770/x
  3. Step 3: Cross multiply
    355,194x = 760,770 × 760,770
  4. Step 4: Simplify right side
    355,194x = 578,770,992,900
  5. Step 5: Solve for x
    x = 578,770,992,900/355,194
  6. Step 6: Final answer
    x = 1,629,450.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.