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Finding the Third Proportional to 283,296 and 613,056

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Solution

The third proportional to 283,296 and 613,056 is: 1,326,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,296 : 613,056 = 613,056 : x
  2. Step 2: Convert to fraction form
    283,296/613,056 = 613,056/x
  3. Step 3: Cross multiply
    283,296x = 613,056 × 613,056
  4. Step 4: Simplify right side
    283,296x = 375,837,659,136
  5. Step 5: Solve for x
    x = 375,837,659,136/283,296
  6. Step 6: Final answer
    x = 1,326,660.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.