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Finding the Third Proportional to 264,236 and 580,960

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Solution

The third proportional to 264,236 and 580,960 is: 1,277,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,236 : 580,960 = 580,960 : x
  2. Step 2: Convert to fraction form
    264,236/580,960 = 580,960/x
  3. Step 3: Cross multiply
    264,236x = 580,960 × 580,960
  4. Step 4: Simplify right side
    264,236x = 337,514,521,600
  5. Step 5: Solve for x
    x = 337,514,521,600/264,236
  6. Step 6: Final answer
    x = 1,277,322.25

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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.