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Finding the Third Proportional to 311,309,210.25 and 477,513,906.75

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Solution

The third proportional to 311,309,210.25 and 477,513,906.75 is: 732,453,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,309,210.25 : 477,513,906.75 = 477,513,906.75 : x
  2. Step 2: Convert to fraction form
    311,309,210.25/477,513,906.75 = 477,513,906.75/x
  3. Step 3: Cross multiply
    311,309,210.25x = 477,513,906.75 × 477,513,906.75
  4. Step 4: Simplify right side
    311,309,210.25x = 228,019,531,139,647,680
  5. Step 5: Solve for x
    x = 228,019,531,139,647,680/311,309,210.25
  6. Step 6: Final answer
    x = 732,453,533.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.