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Finding the Third Proportional to 190,107 and 411,579

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Solution

The third proportional to 190,107 and 411,579 is: 891,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,107 : 411,579 = 411,579 : x
  2. Step 2: Convert to fraction form
    190,107/411,579 = 411,579/x
  3. Step 3: Cross multiply
    190,107x = 411,579 × 411,579
  4. Step 4: Simplify right side
    190,107x = 169,397,273,241
  5. Step 5: Solve for x
    x = 169,397,273,241/190,107
  6. Step 6: Final answer
    x = 891,062.79

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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.