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Finding the Third Proportional to 190,791 and 414,387

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Solution

The third proportional to 190,791 and 414,387 is: 900,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,791 : 414,387 = 414,387 : x
  2. Step 2: Convert to fraction form
    190,791/414,387 = 414,387/x
  3. Step 3: Cross multiply
    190,791x = 414,387 × 414,387
  4. Step 4: Simplify right side
    190,791x = 171,716,585,769
  5. Step 5: Solve for x
    x = 171,716,585,769/190,791
  6. Step 6: Final answer
    x = 900,024.56

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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.