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Finding the Third Proportional to 190,396 and 413,566

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Solution

The third proportional to 190,396 and 413,566 is: 898,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,396 : 413,566 = 413,566 : x
  2. Step 2: Convert to fraction form
    190,396/413,566 = 413,566/x
  3. Step 3: Cross multiply
    190,396x = 413,566 × 413,566
  4. Step 4: Simplify right side
    190,396x = 171,036,836,356
  5. Step 5: Solve for x
    x = 171,036,836,356/190,396
  6. Step 6: Final answer
    x = 898,321.58

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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.