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Finding the Third Proportional to 329,764 and 706,256

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Solution

The third proportional to 329,764 and 706,256 is: 1,512,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,764 : 706,256 = 706,256 : x
  2. Step 2: Convert to fraction form
    329,764/706,256 = 706,256/x
  3. Step 3: Cross multiply
    329,764x = 706,256 × 706,256
  4. Step 4: Simplify right side
    329,764x = 498,797,537,536
  5. Step 5: Solve for x
    x = 498,797,537,536/329,764
  6. Step 6: Final answer
    x = 1,512,589.42

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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.