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Finding the Third Proportional to 292,243.50 and 629,631

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Solution

The third proportional to 292,243.50 and 629,631 is: 1,356,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,243.50 : 629,631 = 629,631 : x
  2. Step 2: Convert to fraction form
    292,243.50/629,631 = 629,631/x
  3. Step 3: Cross multiply
    292,243.50x = 629,631 × 629,631
  4. Step 4: Simplify right side
    292,243.50x = 396,435,196,161
  5. Step 5: Solve for x
    x = 396,435,196,161/292,243.50
  6. Step 6: Final answer
    x = 1,356,523.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.