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Finding the Third Proportional to 275,819,440.50 and 411,337,311.75

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Solution

The third proportional to 275,819,440.50 and 411,337,311.75 is: 613,438,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,819,440.50 : 411,337,311.75 = 411,337,311.75 : x
  2. Step 2: Convert to fraction form
    275,819,440.50/411,337,311.75 = 411,337,311.75/x
  3. Step 3: Cross multiply
    275,819,440.50x = 411,337,311.75 × 411,337,311.75
  4. Step 4: Simplify right side
    275,819,440.50x = 169,198,384,037,716,704
  5. Step 5: Solve for x
    x = 169,198,384,037,716,704/275,819,440.50
  6. Step 6: Final answer
    x = 613,438,935.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.