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Finding the Third Proportional to 190,633.50 and 412,649.44

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Solution

The third proportional to 190,633.50 and 412,649.44 is: 893,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,633.50 : 412,649.44 = 412,649.44 : x
  2. Step 2: Convert to fraction form
    190,633.50/412,649.44 = 412,649.44/x
  3. Step 3: Cross multiply
    190,633.50x = 412,649.44 × 412,649.44
  4. Step 4: Simplify right side
    190,633.50x = 170,279,558,269.07
  5. Step 5: Solve for x
    x = 170,279,558,269.07/190,633.50
  6. Step 6: Final answer
    x = 893,229.98

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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.