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Finding the Third Proportional to 283,300 and 613,064

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Solution

The third proportional to 283,300 and 613,064 is: 1,326,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,300 : 613,064 = 613,064 : x
  2. Step 2: Convert to fraction form
    283,300/613,064 = 613,064/x
  3. Step 3: Cross multiply
    283,300x = 613,064 × 613,064
  4. Step 4: Simplify right side
    283,300x = 375,847,468,096
  5. Step 5: Solve for x
    x = 375,847,468,096/283,300
  6. Step 6: Final answer
    x = 1,326,676.56

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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.