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Finding the Third Proportional to 449,556.64 and 963,236.81

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Solution

The third proportional to 449,556.64 and 963,236.81 is: 2,063,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,556.64 : 963,236.81 = 963,236.81 : x
  2. Step 2: Convert to fraction form
    449,556.64/963,236.81 = 963,236.81/x
  3. Step 3: Cross multiply
    449,556.64x = 963,236.81 × 963,236.81
  4. Step 4: Simplify right side
    449,556.64x = 927,825,156,955.16
  5. Step 5: Solve for x
    x = 927,825,156,955.16/449,556.64
  6. Step 6: Final answer
    x = 2,063,867.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.