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Finding the Third Proportional to 186,978 and 411,351

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Solution

The third proportional to 186,978 and 411,351 is: 904,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,978 : 411,351 = 411,351 : x
  2. Step 2: Convert to fraction form
    186,978/411,351 = 411,351/x
  3. Step 3: Cross multiply
    186,978x = 411,351 × 411,351
  4. Step 4: Simplify right side
    186,978x = 169,209,645,201
  5. Step 5: Solve for x
    x = 169,209,645,201/186,978
  6. Step 6: Final answer
    x = 904,970.88

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