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Finding the Third Proportional to 426 and 1,058

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Solution

The third proportional to 426 and 1,058 is: 2,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    426 : 1,058 = 1,058 : x
  2. Step 2: Convert to fraction form
    426/1,058 = 1,058/x
  3. Step 3: Cross multiply
    426x = 1,058 × 1,058
  4. Step 4: Simplify right side
    426x = 1,119,364
  5. Step 5: Solve for x
    x = 1,119,364/426
  6. Step 6: Final answer
    x = 2,627.62

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.