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Finding the Third Proportional to 264,481 and 402,917

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Solution

The third proportional to 264,481 and 402,917 is: 613,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,481 : 402,917 = 402,917 : x
  2. Step 2: Convert to fraction form
    264,481/402,917 = 402,917/x
  3. Step 3: Cross multiply
    264,481x = 402,917 × 402,917
  4. Step 4: Simplify right side
    264,481x = 162,342,108,889
  5. Step 5: Solve for x
    x = 162,342,108,889/264,481
  6. Step 6: Final answer
    x = 613,813.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.