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Finding the Third Proportional to 190,698 and 411,372

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Solution

The third proportional to 190,698 and 411,372 is: 887,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,698 : 411,372 = 411,372 : x
  2. Step 2: Convert to fraction form
    190,698/411,372 = 411,372/x
  3. Step 3: Cross multiply
    190,698x = 411,372 × 411,372
  4. Step 4: Simplify right side
    190,698x = 169,226,922,384
  5. Step 5: Solve for x
    x = 169,226,922,384/190,698
  6. Step 6: Final answer
    x = 887,407.96

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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.