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Finding the Third Proportional to 299,175.75 and 623,592

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Solution

The third proportional to 299,175.75 and 623,592 is: 1,299,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,175.75 : 623,592 = 623,592 : x
  2. Step 2: Convert to fraction form
    299,175.75/623,592 = 623,592/x
  3. Step 3: Cross multiply
    299,175.75x = 623,592 × 623,592
  4. Step 4: Simplify right side
    299,175.75x = 388,866,982,464
  5. Step 5: Solve for x
    x = 388,866,982,464/299,175.75
  6. Step 6: Final answer
    x = 1,299,794.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.