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Finding the Third Proportional to 267,872 and 563,328

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Solution

The third proportional to 267,872 and 563,328 is: 1,184,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,872 : 563,328 = 563,328 : x
  2. Step 2: Convert to fraction form
    267,872/563,328 = 563,328/x
  3. Step 3: Cross multiply
    267,872x = 563,328 × 563,328
  4. Step 4: Simplify right side
    267,872x = 317,338,435,584
  5. Step 5: Solve for x
    x = 317,338,435,584/267,872
  6. Step 6: Final answer
    x = 1,184,664.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.