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Finding the Third Proportional to 355,238 and 677,738

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Solution

The third proportional to 355,238 and 677,738 is: 1,293,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,238 : 677,738 = 677,738 : x
  2. Step 2: Convert to fraction form
    355,238/677,738 = 677,738/x
  3. Step 3: Cross multiply
    355,238x = 677,738 × 677,738
  4. Step 4: Simplify right side
    355,238x = 459,328,796,644
  5. Step 5: Solve for x
    x = 459,328,796,644/355,238
  6. Step 6: Final answer
    x = 1,293,017.07

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.