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Finding the Third Proportional to 490,369.75 and 1,058,149.75

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Solution

The third proportional to 490,369.75 and 1,058,149.75 is: 2,283,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,369.75 : 1,058,149.75 = 1,058,149.75 : x
  2. Step 2: Convert to fraction form
    490,369.75/1,058,149.75 = 1,058,149.75/x
  3. Step 3: Cross multiply
    490,369.75x = 1,058,149.75 × 1,058,149.75
  4. Step 4: Simplify right side
    490,369.75x = 1,119,680,893,425.06
  5. Step 5: Solve for x
    x = 1,119,680,893,425.06/490,369.75
  6. Step 6: Final answer
    x = 2,283,340.06

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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.