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Finding the Third Proportional to 265,905 and 422,833

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Solution

The third proportional to 265,905 and 422,833 is: 672,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,905 : 422,833 = 422,833 : x
  2. Step 2: Convert to fraction form
    265,905/422,833 = 422,833/x
  3. Step 3: Cross multiply
    265,905x = 422,833 × 422,833
  4. Step 4: Simplify right side
    265,905x = 178,787,745,889
  5. Step 5: Solve for x
    x = 178,787,745,889/265,905
  6. Step 6: Final answer
    x = 672,374.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.