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Finding the Third Proportional to 267,592 and 413,148

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Solution

The third proportional to 267,592 and 413,148 is: 637,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,592 : 413,148 = 413,148 : x
  2. Step 2: Convert to fraction form
    267,592/413,148 = 413,148/x
  3. Step 3: Cross multiply
    267,592x = 413,148 × 413,148
  4. Step 4: Simplify right side
    267,592x = 170,691,269,904
  5. Step 5: Solve for x
    x = 170,691,269,904/267,592
  6. Step 6: Final answer
    x = 637,878.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.