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Finding the Third Proportional to 264,513 and 587,886

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Solution

The third proportional to 264,513 and 587,886 is: 1,306,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,513 : 587,886 = 587,886 : x
  2. Step 2: Convert to fraction form
    264,513/587,886 = 587,886/x
  3. Step 3: Cross multiply
    264,513x = 587,886 × 587,886
  4. Step 4: Simplify right side
    264,513x = 345,609,948,996
  5. Step 5: Solve for x
    x = 345,609,948,996/264,513
  6. Step 6: Final answer
    x = 1,306,589.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.