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Finding the Third Proportional to 186,998 and 411,384

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Solution

The third proportional to 186,998 and 411,384 is: 905,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,998 : 411,384 = 411,384 : x
  2. Step 2: Convert to fraction form
    186,998/411,384 = 411,384/x
  3. Step 3: Cross multiply
    186,998x = 411,384 × 411,384
  4. Step 4: Simplify right side
    186,998x = 169,236,795,456
  5. Step 5: Solve for x
    x = 169,236,795,456/186,998
  6. Step 6: Final answer
    x = 905,019.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.