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Finding the Third Proportional to 267,558 and 403,605

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Solution

The third proportional to 267,558 and 403,605 is: 608,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,558 : 403,605 = 403,605 : x
  2. Step 2: Convert to fraction form
    267,558/403,605 = 403,605/x
  3. Step 3: Cross multiply
    267,558x = 403,605 × 403,605
  4. Step 4: Simplify right side
    267,558x = 162,896,996,025
  5. Step 5: Solve for x
    x = 162,896,996,025/267,558
  6. Step 6: Final answer
    x = 608,828.73

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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.