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Finding the Third Proportional to 264,309.75 and 580,285.69

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Solution

The third proportional to 264,309.75 and 580,285.69 is: 1,274,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,309.75 : 580,285.69 = 580,285.69 : x
  2. Step 2: Convert to fraction form
    264,309.75/580,285.69 = 580,285.69/x
  3. Step 3: Cross multiply
    264,309.75x = 580,285.69 × 580,285.69
  4. Step 4: Simplify right side
    264,309.75x = 336,731,479,117.35
  5. Step 5: Solve for x
    x = 336,731,479,117.35/264,309.75
  6. Step 6: Final answer
    x = 1,274,003.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.