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Finding the Third Proportional to 267,460 and 557,320

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Solution

The third proportional to 267,460 and 557,320 is: 1,161,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,460 : 557,320 = 557,320 : x
  2. Step 2: Convert to fraction form
    267,460/557,320 = 557,320/x
  3. Step 3: Cross multiply
    267,460x = 557,320 × 557,320
  4. Step 4: Simplify right side
    267,460x = 310,605,582,400
  5. Step 5: Solve for x
    x = 310,605,582,400/267,460
  6. Step 6: Final answer
    x = 1,161,316.02

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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.