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Finding the Third Proportional to 190,644 and 418,632

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Solution

The third proportional to 190,644 and 418,632 is: 919,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,644 : 418,632 = 418,632 : x
  2. Step 2: Convert to fraction form
    190,644/418,632 = 418,632/x
  3. Step 3: Cross multiply
    190,644x = 418,632 × 418,632
  4. Step 4: Simplify right side
    190,644x = 175,252,751,424
  5. Step 5: Solve for x
    x = 175,252,751,424/190,644
  6. Step 6: Final answer
    x = 919,267.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.