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Finding the Third Proportional to 367,022 and 561,504

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Solution

The third proportional to 367,022 and 561,504 is: 859,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,022 : 561,504 = 561,504 : x
  2. Step 2: Convert to fraction form
    367,022/561,504 = 561,504/x
  3. Step 3: Cross multiply
    367,022x = 561,504 × 561,504
  4. Step 4: Simplify right side
    367,022x = 315,286,742,016
  5. Step 5: Solve for x
    x = 315,286,742,016/367,022
  6. Step 6: Final answer
    x = 859,040.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.