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Finding the Third Proportional to 283,648 and 605,203

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Solution

The third proportional to 283,648 and 605,203 is: 1,291,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,648 : 605,203 = 605,203 : x
  2. Step 2: Convert to fraction form
    283,648/605,203 = 605,203/x
  3. Step 3: Cross multiply
    283,648x = 605,203 × 605,203
  4. Step 4: Simplify right side
    283,648x = 366,270,671,209
  5. Step 5: Solve for x
    x = 366,270,671,209/283,648
  6. Step 6: Final answer
    x = 1,291,285.93

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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.