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Finding the Third Proportional to 283,646.25 and 605,198.25

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Solution

The third proportional to 283,646.25 and 605,198.25 is: 1,291,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,646.25 : 605,198.25 = 605,198.25 : x
  2. Step 2: Convert to fraction form
    283,646.25/605,198.25 = 605,198.25/x
  3. Step 3: Cross multiply
    283,646.25x = 605,198.25 × 605,198.25
  4. Step 4: Simplify right side
    283,646.25x = 366,264,921,803.06
  5. Step 5: Solve for x
    x = 366,264,921,803.06/283,646.25
  6. Step 6: Final answer
    x = 1,291,273.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.