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Finding the Third Proportional to 264,515 and 587,890

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Solution

The third proportional to 264,515 and 587,890 is: 1,306,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,515 : 587,890 = 587,890 : x
  2. Step 2: Convert to fraction form
    264,515/587,890 = 587,890/x
  3. Step 3: Cross multiply
    264,515x = 587,890 × 587,890
  4. Step 4: Simplify right side
    264,515x = 345,614,652,100
  5. Step 5: Solve for x
    x = 345,614,652,100/264,515
  6. Step 6: Final answer
    x = 1,306,597.55

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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.