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Finding the Third Proportional to 270,018.56 and 625,112.44

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Solution

The third proportional to 270,018.56 and 625,112.44 is: 1,447,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,018.56 : 625,112.44 = 625,112.44 : x
  2. Step 2: Convert to fraction form
    270,018.56/625,112.44 = 625,112.44/x
  3. Step 3: Cross multiply
    270,018.56x = 625,112.44 × 625,112.44
  4. Step 4: Simplify right side
    270,018.56x = 390,765,559,517.19
  5. Step 5: Solve for x
    x = 390,765,559,517.19/270,018.56
  6. Step 6: Final answer
    x = 1,447,180.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.