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Finding the Third Proportional to 361,994 and 779,224

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Solution

The third proportional to 361,994 and 779,224 is: 1,677,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,994 : 779,224 = 779,224 : x
  2. Step 2: Convert to fraction form
    361,994/779,224 = 779,224/x
  3. Step 3: Cross multiply
    361,994x = 779,224 × 779,224
  4. Step 4: Simplify right side
    361,994x = 607,190,042,176
  5. Step 5: Solve for x
    x = 607,190,042,176/361,994
  6. Step 6: Final answer
    x = 1,677,348.36

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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.