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Finding the Third Proportional to 326,187 and 674,757

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Solution

The third proportional to 326,187 and 674,757 is: 1,395,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,187 : 674,757 = 674,757 : x
  2. Step 2: Convert to fraction form
    326,187/674,757 = 674,757/x
  3. Step 3: Cross multiply
    326,187x = 674,757 × 674,757
  4. Step 4: Simplify right side
    326,187x = 455,297,009,049
  5. Step 5: Solve for x
    x = 455,297,009,049/326,187
  6. Step 6: Final answer
    x = 1,395,815.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.