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Finding the Third Proportional to 329,256 and 718,338

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Solution

The third proportional to 329,256 and 718,338 is: 1,567,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,256 : 718,338 = 718,338 : x
  2. Step 2: Convert to fraction form
    329,256/718,338 = 718,338/x
  3. Step 3: Cross multiply
    329,256x = 718,338 × 718,338
  4. Step 4: Simplify right side
    329,256x = 516,009,482,244
  5. Step 5: Solve for x
    x = 516,009,482,244/329,256
  6. Step 6: Final answer
    x = 1,567,198.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.