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Finding the Third Proportional to 283,985 and 605,859

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Solution

The third proportional to 283,985 and 605,859 is: 1,292,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,985 : 605,859 = 605,859 : x
  2. Step 2: Convert to fraction form
    283,985/605,859 = 605,859/x
  3. Step 3: Cross multiply
    283,985x = 605,859 × 605,859
  4. Step 4: Simplify right side
    283,985x = 367,065,127,881
  5. Step 5: Solve for x
    x = 367,065,127,881/283,985
  6. Step 6: Final answer
    x = 1,292,551.11

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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.