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Finding the Third Proportional to 294,380 and 655,378

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Solution

The third proportional to 294,380 and 655,378 is: 1,459,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,380 : 655,378 = 655,378 : x
  2. Step 2: Convert to fraction form
    294,380/655,378 = 655,378/x
  3. Step 3: Cross multiply
    294,380x = 655,378 × 655,378
  4. Step 4: Simplify right side
    294,380x = 429,520,322,884
  5. Step 5: Solve for x
    x = 429,520,322,884/294,380
  6. Step 6: Final answer
    x = 1,459,067.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.