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Finding the Third Proportional to 190,045 and 412,946

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Solution

The third proportional to 190,045 and 412,946 is: 897,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,045 : 412,946 = 412,946 : x
  2. Step 2: Convert to fraction form
    190,045/412,946 = 412,946/x
  3. Step 3: Cross multiply
    190,045x = 412,946 × 412,946
  4. Step 4: Simplify right side
    190,045x = 170,524,398,916
  5. Step 5: Solve for x
    x = 170,524,398,916/190,045
  6. Step 6: Final answer
    x = 897,284.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.