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Finding the Third Proportional to 267,886 and 364,810

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Solution

The third proportional to 267,886 and 364,810 is: 496,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,886 : 364,810 = 364,810 : x
  2. Step 2: Convert to fraction form
    267,886/364,810 = 364,810/x
  3. Step 3: Cross multiply
    267,886x = 364,810 × 364,810
  4. Step 4: Simplify right side
    267,886x = 133,086,336,100
  5. Step 5: Solve for x
    x = 133,086,336,100/267,886
  6. Step 6: Final answer
    x = 496,802.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.