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Finding the Third Proportional to 267,114 and 544,124

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Solution

The third proportional to 267,114 and 544,124 is: 1,108,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,114 : 544,124 = 544,124 : x
  2. Step 2: Convert to fraction form
    267,114/544,124 = 544,124/x
  3. Step 3: Cross multiply
    267,114x = 544,124 × 544,124
  4. Step 4: Simplify right side
    267,114x = 296,070,927,376
  5. Step 5: Solve for x
    x = 296,070,927,376/267,114
  6. Step 6: Final answer
    x = 1,108,406.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.