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Finding the Third Proportional to 331,451,140.50 and 501,783,174.75

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Solution

The third proportional to 331,451,140.50 and 501,783,174.75 is: 759,648,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,451,140.50 : 501,783,174.75 = 501,783,174.75 : x
  2. Step 2: Convert to fraction form
    331,451,140.50/501,783,174.75 = 501,783,174.75/x
  3. Step 3: Cross multiply
    331,451,140.50x = 501,783,174.75 × 501,783,174.75
  4. Step 4: Simplify right side
    331,451,140.50x = 251,786,354,462,189,024
  5. Step 5: Solve for x
    x = 251,786,354,462,189,024/331,451,140.50
  6. Step 6: Final answer
    x = 759,648,478.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.