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Finding the Third Proportional to 190,629 and 412,641

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Solution

The third proportional to 190,629 and 412,641 is: 893,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,629 : 412,641 = 412,641 : x
  2. Step 2: Convert to fraction form
    190,629/412,641 = 412,641/x
  3. Step 3: Cross multiply
    190,629x = 412,641 × 412,641
  4. Step 4: Simplify right side
    190,629x = 170,272,594,881
  5. Step 5: Solve for x
    x = 170,272,594,881/190,629
  6. Step 6: Final answer
    x = 893,214.54

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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.