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Finding the Third Proportional to 264,525 and 587,907

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Solution

The third proportional to 264,525 and 587,907 is: 1,306,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,525 : 587,907 = 587,907 : x
  2. Step 2: Convert to fraction form
    264,525/587,907 = 587,907/x
  3. Step 3: Cross multiply
    264,525x = 587,907 × 587,907
  4. Step 4: Simplify right side
    264,525x = 345,634,640,649
  5. Step 5: Solve for x
    x = 345,634,640,649/264,525
  6. Step 6: Final answer
    x = 1,306,623.72

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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.