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Finding the Third Proportional to 283,986 and 605,862

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Solution

The third proportional to 283,986 and 605,862 is: 1,292,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,986 : 605,862 = 605,862 : x
  2. Step 2: Convert to fraction form
    283,986/605,862 = 605,862/x
  3. Step 3: Cross multiply
    283,986x = 605,862 × 605,862
  4. Step 4: Simplify right side
    283,986x = 367,068,763,044
  5. Step 5: Solve for x
    x = 367,068,763,044/283,986
  6. Step 6: Final answer
    x = 1,292,559.36

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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.