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Finding the Third Proportional to 283,593 and 439,333

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Solution

The third proportional to 283,593 and 439,333 is: 680,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,593 : 439,333 = 439,333 : x
  2. Step 2: Convert to fraction form
    283,593/439,333 = 439,333/x
  3. Step 3: Cross multiply
    283,593x = 439,333 × 439,333
  4. Step 4: Simplify right side
    283,593x = 193,013,484,889
  5. Step 5: Solve for x
    x = 193,013,484,889/283,593
  6. Step 6: Final answer
    x = 680,600.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.