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Finding the Third Proportional to 490 and 1,058

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Solution

The third proportional to 490 and 1,058 is: 2,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 1,058 = 1,058 : x
  2. Step 2: Convert to fraction form
    490/1,058 = 1,058/x
  3. Step 3: Cross multiply
    490x = 1,058 × 1,058
  4. Step 4: Simplify right side
    490x = 1,119,364
  5. Step 5: Solve for x
    x = 1,119,364/490
  6. Step 6: Final answer
    x = 2,284.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.