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Finding the Third Proportional to 190,489.31 and 413,816.63

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Solution

The third proportional to 190,489.31 and 413,816.63 is: 898,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,489.31 : 413,816.63 = 413,816.63 : x
  2. Step 2: Convert to fraction form
    190,489.31/413,816.63 = 413,816.63/x
  3. Step 3: Cross multiply
    190,489.31x = 413,816.63 × 413,816.63
  4. Step 4: Simplify right side
    190,489.31x = 171,244,199,126.39
  5. Step 5: Solve for x
    x = 171,244,199,126.39/190,489.31
  6. Step 6: Final answer
    x = 898,970.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.