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Finding the Third Proportional to 267,473 and 557,365

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Solution

The third proportional to 267,473 and 557,365 is: 1,161,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,473 : 557,365 = 557,365 : x
  2. Step 2: Convert to fraction form
    267,473/557,365 = 557,365/x
  3. Step 3: Cross multiply
    267,473x = 557,365 × 557,365
  4. Step 4: Simplify right side
    267,473x = 310,655,743,225
  5. Step 5: Solve for x
    x = 310,655,743,225/267,473
  6. Step 6: Final answer
    x = 1,161,447.11

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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.