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Finding the Third Proportional to 301,744 and 422,863

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Solution

The third proportional to 301,744 and 422,863 is: 592,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,744 : 422,863 = 422,863 : x
  2. Step 2: Convert to fraction form
    301,744/422,863 = 422,863/x
  3. Step 3: Cross multiply
    301,744x = 422,863 × 422,863
  4. Step 4: Simplify right side
    301,744x = 178,813,116,769
  5. Step 5: Solve for x
    x = 178,813,116,769/301,744
  6. Step 6: Final answer
    x = 592,598.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.