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Finding the Third Proportional to 267,748 and 557,692

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Solution

The third proportional to 267,748 and 557,692 is: 1,161,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,748 : 557,692 = 557,692 : x
  2. Step 2: Convert to fraction form
    267,748/557,692 = 557,692/x
  3. Step 3: Cross multiply
    267,748x = 557,692 × 557,692
  4. Step 4: Simplify right side
    267,748x = 311,020,366,864
  5. Step 5: Solve for x
    x = 311,020,366,864/267,748
  6. Step 6: Final answer
    x = 1,161,616.02

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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.