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Finding the Third Proportional to 469,365.75 and 963,613.69

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Solution

The third proportional to 469,365.75 and 963,613.69 is: 1,978,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,365.75 : 963,613.69 = 963,613.69 : x
  2. Step 2: Convert to fraction form
    469,365.75/963,613.69 = 963,613.69/x
  3. Step 3: Cross multiply
    469,365.75x = 963,613.69 × 963,613.69
  4. Step 4: Simplify right side
    469,365.75x = 928,551,338,737.35
  5. Step 5: Solve for x
    x = 928,551,338,737.35/469,365.75
  6. Step 6: Final answer
    x = 1,978,310.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.