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Finding the Third Proportional to 267,538 and 403,576

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Solution

The third proportional to 267,538 and 403,576 is: 608,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,538 : 403,576 = 403,576 : x
  2. Step 2: Convert to fraction form
    267,538/403,576 = 403,576/x
  3. Step 3: Cross multiply
    267,538x = 403,576 × 403,576
  4. Step 4: Simplify right side
    267,538x = 162,873,587,776
  5. Step 5: Solve for x
    x = 162,873,587,776/267,538
  6. Step 6: Final answer
    x = 608,786.74

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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.