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Finding the Third Proportional to 264,238 and 580,964

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Solution

The third proportional to 264,238 and 580,964 is: 1,277,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,238 : 580,964 = 580,964 : x
  2. Step 2: Convert to fraction form
    264,238/580,964 = 580,964/x
  3. Step 3: Cross multiply
    264,238x = 580,964 × 580,964
  4. Step 4: Simplify right side
    264,238x = 337,519,169,296
  5. Step 5: Solve for x
    x = 337,519,169,296/264,238
  6. Step 6: Final answer
    x = 1,277,330.17

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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.