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Finding the Third Proportional to 264,330 and 587,520

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Solution

The third proportional to 264,330 and 587,520 is: 1,305,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,330 : 587,520 = 587,520 : x
  2. Step 2: Convert to fraction form
    264,330/587,520 = 587,520/x
  3. Step 3: Cross multiply
    264,330x = 587,520 × 587,520
  4. Step 4: Simplify right side
    264,330x = 345,179,750,400
  5. Step 5: Solve for x
    x = 345,179,750,400/264,330
  6. Step 6: Final answer
    x = 1,305,866.72

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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.