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Finding the Third Proportional to 190,077 and 413,010

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Solution

The third proportional to 190,077 and 413,010 is: 897,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,077 : 413,010 = 413,010 : x
  2. Step 2: Convert to fraction form
    190,077/413,010 = 413,010/x
  3. Step 3: Cross multiply
    190,077x = 413,010 × 413,010
  4. Step 4: Simplify right side
    190,077x = 170,577,260,100
  5. Step 5: Solve for x
    x = 170,577,260,100/190,077
  6. Step 6: Final answer
    x = 897,411.37

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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.