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Finding the Third Proportional to 367,424 and 864,022

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Solution

The third proportional to 367,424 and 864,022 is: 2,031,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,424 : 864,022 = 864,022 : x
  2. Step 2: Convert to fraction form
    367,424/864,022 = 864,022/x
  3. Step 3: Cross multiply
    367,424x = 864,022 × 864,022
  4. Step 4: Simplify right side
    367,424x = 746,534,016,484
  5. Step 5: Solve for x
    x = 746,534,016,484/367,424
  6. Step 6: Final answer
    x = 2,031,805.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.