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Finding the Third Proportional to 267,580 and 414,546

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Solution

The third proportional to 267,580 and 414,546 is: 642,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,580 : 414,546 = 414,546 : x
  2. Step 2: Convert to fraction form
    267,580/414,546 = 414,546/x
  3. Step 3: Cross multiply
    267,580x = 414,546 × 414,546
  4. Step 4: Simplify right side
    267,580x = 171,848,386,116
  5. Step 5: Solve for x
    x = 171,848,386,116/267,580
  6. Step 6: Final answer
    x = 642,231.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.