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Finding the Third Proportional to 264,240 and 580,968

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Solution

The third proportional to 264,240 and 580,968 is: 1,277,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,240 : 580,968 = 580,968 : x
  2. Step 2: Convert to fraction form
    264,240/580,968 = 580,968/x
  3. Step 3: Cross multiply
    264,240x = 580,968 × 580,968
  4. Step 4: Simplify right side
    264,240x = 337,523,817,024
  5. Step 5: Solve for x
    x = 337,523,817,024/264,240
  6. Step 6: Final answer
    x = 1,277,338.09

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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.