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Finding the Third Proportional to 451,212.75 and 963,328.50

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Solution

The third proportional to 451,212.75 and 963,328.50 is: 2,056,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,212.75 : 963,328.50 = 963,328.50 : x
  2. Step 2: Convert to fraction form
    451,212.75/963,328.50 = 963,328.50/x
  3. Step 3: Cross multiply
    451,212.75x = 963,328.50 × 963,328.50
  4. Step 4: Simplify right side
    451,212.75x = 928,001,798,912.25
  5. Step 5: Solve for x
    x = 928,001,798,912.25/451,212.75
  6. Step 6: Final answer
    x = 2,056,683.46

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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.