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Finding the Third Proportional to 267,668 and 403,770

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Solution

The third proportional to 267,668 and 403,770 is: 609,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,668 : 403,770 = 403,770 : x
  2. Step 2: Convert to fraction form
    267,668/403,770 = 403,770/x
  3. Step 3: Cross multiply
    267,668x = 403,770 × 403,770
  4. Step 4: Simplify right side
    267,668x = 163,030,212,900
  5. Step 5: Solve for x
    x = 163,030,212,900/267,668
  6. Step 6: Final answer
    x = 609,076.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.