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Finding the Third Proportional to 269,628 and 422,931

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Solution

The third proportional to 269,628 and 422,931 is: 663,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,628 : 422,931 = 422,931 : x
  2. Step 2: Convert to fraction form
    269,628/422,931 = 422,931/x
  3. Step 3: Cross multiply
    269,628x = 422,931 × 422,931
  4. Step 4: Simplify right side
    269,628x = 178,870,630,761
  5. Step 5: Solve for x
    x = 178,870,630,761/269,628
  6. Step 6: Final answer
    x = 663,397.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.