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Finding the Third Proportional to 264,876 and 577,040

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Solution

The third proportional to 264,876 and 577,040 is: 1,257,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,876 : 577,040 = 577,040 : x
  2. Step 2: Convert to fraction form
    264,876/577,040 = 577,040/x
  3. Step 3: Cross multiply
    264,876x = 577,040 × 577,040
  4. Step 4: Simplify right side
    264,876x = 332,975,161,600
  5. Step 5: Solve for x
    x = 332,975,161,600/264,876
  6. Step 6: Final answer
    x = 1,257,098.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.