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Finding the Third Proportional to 267,553.50 and 403,599

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Solution

The third proportional to 267,553.50 and 403,599 is: 608,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,553.50 : 403,599 = 403,599 : x
  2. Step 2: Convert to fraction form
    267,553.50/403,599 = 403,599/x
  3. Step 3: Cross multiply
    267,553.50x = 403,599 × 403,599
  4. Step 4: Simplify right side
    267,553.50x = 162,892,152,801
  5. Step 5: Solve for x
    x = 162,892,152,801/267,553.50
  6. Step 6: Final answer
    x = 608,820.86

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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.