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Finding the Third Proportional to 267,936 and 563,448

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Solution

The third proportional to 267,936 and 563,448 is: 1,184,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,936 : 563,448 = 563,448 : x
  2. Step 2: Convert to fraction form
    267,936/563,448 = 563,448/x
  3. Step 3: Cross multiply
    267,936x = 563,448 × 563,448
  4. Step 4: Simplify right side
    267,936x = 317,473,648,704
  5. Step 5: Solve for x
    x = 317,473,648,704/267,936
  6. Step 6: Final answer
    x = 1,184,886.12

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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.