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Finding the Third Proportional to 422,164 and 622,082

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Solution

The third proportional to 422,164 and 622,082 is: 916,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,164 : 622,082 = 622,082 : x
  2. Step 2: Convert to fraction form
    422,164/622,082 = 622,082/x
  3. Step 3: Cross multiply
    422,164x = 622,082 × 622,082
  4. Step 4: Simplify right side
    422,164x = 386,986,014,724
  5. Step 5: Solve for x
    x = 386,986,014,724/422,164
  6. Step 6: Final answer
    x = 916,672.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.