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Finding the Third Proportional to 267,956 and 563,488

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Solution

The third proportional to 267,956 and 563,488 is: 1,184,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,956 : 563,488 = 563,488 : x
  2. Step 2: Convert to fraction form
    267,956/563,488 = 563,488/x
  3. Step 3: Cross multiply
    267,956x = 563,488 × 563,488
  4. Step 4: Simplify right side
    267,956x = 317,518,726,144
  5. Step 5: Solve for x
    x = 317,518,726,144/267,956
  6. Step 6: Final answer
    x = 1,184,965.91

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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.