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Finding the Third Proportional to 331,841.25 and 723,958.88

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Solution

The third proportional to 331,841.25 and 723,958.88 is: 1,579,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,841.25 : 723,958.88 = 723,958.88 : x
  2. Step 2: Convert to fraction form
    331,841.25/723,958.88 = 723,958.88/x
  3. Step 3: Cross multiply
    331,841.25x = 723,958.88 × 723,958.88
  4. Step 4: Simplify right side
    331,841.25x = 524,116,452,691.27
  5. Step 5: Solve for x
    x = 524,116,452,691.27/331,841.25
  6. Step 6: Final answer
    x = 1,579,419.23

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Why These Related Problems?

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