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Finding the Third Proportional to 277,820.44 and 605,989.13

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Solution

The third proportional to 277,820.44 and 605,989.13 is: 1,321,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,820.44 : 605,989.13 = 605,989.13 : x
  2. Step 2: Convert to fraction form
    277,820.44/605,989.13 = 605,989.13/x
  3. Step 3: Cross multiply
    277,820.44x = 605,989.13 × 605,989.13
  4. Step 4: Simplify right side
    277,820.44x = 367,222,819,618.27
  5. Step 5: Solve for x
    x = 367,222,819,618.27/277,820.44
  6. Step 6: Final answer
    x = 1,321,799.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.