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Finding the Third Proportional to 267,116 and 544,128

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Solution

The third proportional to 267,116 and 544,128 is: 1,108,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,116 : 544,128 = 544,128 : x
  2. Step 2: Convert to fraction form
    267,116/544,128 = 544,128/x
  3. Step 3: Cross multiply
    267,116x = 544,128 × 544,128
  4. Step 4: Simplify right side
    267,116x = 296,075,280,384
  5. Step 5: Solve for x
    x = 296,075,280,384/267,116
  6. Step 6: Final answer
    x = 1,108,414.62

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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.