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Finding the Third Proportional to 190,623 and 412,628

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Solution

The third proportional to 190,623 and 412,628 is: 893,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,623 : 412,628 = 412,628 : x
  2. Step 2: Convert to fraction form
    190,623/412,628 = 412,628/x
  3. Step 3: Cross multiply
    190,623x = 412,628 × 412,628
  4. Step 4: Simplify right side
    190,623x = 170,261,866,384
  5. Step 5: Solve for x
    x = 170,261,866,384/190,623
  6. Step 6: Final answer
    x = 893,186.38

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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.