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Finding the Third Proportional to 488,112.75 and 1,058,339.25

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Solution

The third proportional to 488,112.75 and 1,058,339.25 is: 2,294,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,112.75 : 1,058,339.25 = 1,058,339.25 : x
  2. Step 2: Convert to fraction form
    488,112.75/1,058,339.25 = 1,058,339.25/x
  3. Step 3: Cross multiply
    488,112.75x = 1,058,339.25 × 1,058,339.25
  4. Step 4: Simplify right side
    488,112.75x = 1,120,081,968,090.56
  5. Step 5: Solve for x
    x = 1,120,081,968,090.56/488,112.75
  6. Step 6: Final answer
    x = 2,294,719.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.