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Finding the Third Proportional to 283,111 and 613,454

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Solution

The third proportional to 283,111 and 613,454 is: 1,329,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,111 : 613,454 = 613,454 : x
  2. Step 2: Convert to fraction form
    283,111/613,454 = 613,454/x
  3. Step 3: Cross multiply
    283,111x = 613,454 × 613,454
  4. Step 4: Simplify right side
    283,111x = 376,325,810,116
  5. Step 5: Solve for x
    x = 376,325,810,116/283,111
  6. Step 6: Final answer
    x = 1,329,251.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.