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Finding the Third Proportional to 190,464 and 413,736

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Solution

The third proportional to 190,464 and 413,736 is: 898,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,464 : 413,736 = 413,736 : x
  2. Step 2: Convert to fraction form
    190,464/413,736 = 413,736/x
  3. Step 3: Cross multiply
    190,464x = 413,736 × 413,736
  4. Step 4: Simplify right side
    190,464x = 171,177,477,696
  5. Step 5: Solve for x
    x = 171,177,477,696/190,464
  6. Step 6: Final answer
    x = 898,739.28

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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.