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Finding the Third Proportional to 210,989.81 and 449,656.31

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Solution

The third proportional to 210,989.81 and 449,656.31 is: 958,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,989.81 : 449,656.31 = 449,656.31 : x
  2. Step 2: Convert to fraction form
    210,989.81/449,656.31 = 449,656.31/x
  3. Step 3: Cross multiply
    210,989.81x = 449,656.31 × 449,656.31
  4. Step 4: Simplify right side
    210,989.81x = 202,190,799,371.10
  5. Step 5: Solve for x
    x = 202,190,799,371.10/210,989.81
  6. Step 6: Final answer
    x = 958,296.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.