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Finding the Third Proportional to 267,741 and 563,094

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Solution

The third proportional to 267,741 and 563,094 is: 1,184,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,741 : 563,094 = 563,094 : x
  2. Step 2: Convert to fraction form
    267,741/563,094 = 563,094/x
  3. Step 3: Cross multiply
    267,741x = 563,094 × 563,094
  4. Step 4: Simplify right side
    267,741x = 317,074,852,836
  5. Step 5: Solve for x
    x = 317,074,852,836/267,741
  6. Step 6: Final answer
    x = 1,184,259.61

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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.