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Finding the Third Proportional to 326,682 and 693,018

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Solution

The third proportional to 326,682 and 693,018 is: 1,470,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,682 : 693,018 = 693,018 : x
  2. Step 2: Convert to fraction form
    326,682/693,018 = 693,018/x
  3. Step 3: Cross multiply
    326,682x = 693,018 × 693,018
  4. Step 4: Simplify right side
    326,682x = 480,273,948,324
  5. Step 5: Solve for x
    x = 480,273,948,324/326,682
  6. Step 6: Final answer
    x = 1,470,157.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.