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Finding the Third Proportional to 267,516 and 557,130

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Solution

The third proportional to 267,516 and 557,130 is: 1,160,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,516 : 557,130 = 557,130 : x
  2. Step 2: Convert to fraction form
    267,516/557,130 = 557,130/x
  3. Step 3: Cross multiply
    267,516x = 557,130 × 557,130
  4. Step 4: Simplify right side
    267,516x = 310,393,836,900
  5. Step 5: Solve for x
    x = 310,393,836,900/267,516
  6. Step 6: Final answer
    x = 1,160,281.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.