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Finding the Third Proportional to 264,540 and 555,288

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Solution

The third proportional to 264,540 and 555,288 is: 1,165,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,540 : 555,288 = 555,288 : x
  2. Step 2: Convert to fraction form
    264,540/555,288 = 555,288/x
  3. Step 3: Cross multiply
    264,540x = 555,288 × 555,288
  4. Step 4: Simplify right side
    264,540x = 308,344,762,944
  5. Step 5: Solve for x
    x = 308,344,762,944/264,540
  6. Step 6: Final answer
    x = 1,165,588.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.