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Finding the Third Proportional to 449,661.75 and 963,425.75

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Solution

The third proportional to 449,661.75 and 963,425.75 is: 2,064,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,661.75 : 963,425.75 = 963,425.75 : x
  2. Step 2: Convert to fraction form
    449,661.75/963,425.75 = 963,425.75/x
  3. Step 3: Cross multiply
    449,661.75x = 963,425.75 × 963,425.75
  4. Step 4: Simplify right side
    449,661.75x = 928,189,175,763.06
  5. Step 5: Solve for x
    x = 928,189,175,763.06/449,661.75
  6. Step 6: Final answer
    x = 2,064,194.20

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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.