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Finding the Third Proportional to 270,724 and 406,086

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Solution

The third proportional to 270,724 and 406,086 is: 609,129

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,724 : 406,086 = 406,086 : x
  2. Step 2: Convert to fraction form
    270,724/406,086 = 406,086/x
  3. Step 3: Cross multiply
    270,724x = 406,086 × 406,086
  4. Step 4: Simplify right side
    270,724x = 164,905,839,396
  5. Step 5: Solve for x
    x = 164,905,839,396/270,724
  6. Step 6: Final answer
    x = 609,129

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.