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Finding the Third Proportional to 283,666 and 605,456

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Solution

The third proportional to 283,666 and 605,456 is: 1,292,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,666 : 605,456 = 605,456 : x
  2. Step 2: Convert to fraction form
    283,666/605,456 = 605,456/x
  3. Step 3: Cross multiply
    283,666x = 605,456 × 605,456
  4. Step 4: Simplify right side
    283,666x = 366,576,967,936
  5. Step 5: Solve for x
    x = 366,576,967,936/283,666
  6. Step 6: Final answer
    x = 1,292,283.77

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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.