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Finding the Third Proportional to 264,582 and 580,551

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Solution

The third proportional to 264,582 and 580,551 is: 1,273,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,582 : 580,551 = 580,551 : x
  2. Step 2: Convert to fraction form
    264,582/580,551 = 580,551/x
  3. Step 3: Cross multiply
    264,582x = 580,551 × 580,551
  4. Step 4: Simplify right side
    264,582x = 337,039,463,601
  5. Step 5: Solve for x
    x = 337,039,463,601/264,582
  6. Step 6: Final answer
    x = 1,273,856.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.