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Finding the Third Proportional to 190,584 and 405,819

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Solution

The third proportional to 190,584 and 405,819 is: 864,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,584 : 405,819 = 405,819 : x
  2. Step 2: Convert to fraction form
    190,584/405,819 = 405,819/x
  3. Step 3: Cross multiply
    190,584x = 405,819 × 405,819
  4. Step 4: Simplify right side
    190,584x = 164,689,060,761
  5. Step 5: Solve for x
    x = 164,689,060,761/190,584
  6. Step 6: Final answer
    x = 864,128.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.