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Finding the Third Proportional to 190,784 and 414,374

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Solution

The third proportional to 190,784 and 414,374 is: 900,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,784 : 414,374 = 414,374 : x
  2. Step 2: Convert to fraction form
    190,784/414,374 = 414,374/x
  3. Step 3: Cross multiply
    190,784x = 414,374 × 414,374
  4. Step 4: Simplify right side
    190,784x = 171,705,811,876
  5. Step 5: Solve for x
    x = 171,705,811,876/190,784
  6. Step 6: Final answer
    x = 900,001.11

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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.