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Finding the Third Proportional to 267,744 and 401,628

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Solution

The third proportional to 267,744 and 401,628 is: 602,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,744 : 401,628 = 401,628 : x
  2. Step 2: Convert to fraction form
    267,744/401,628 = 401,628/x
  3. Step 3: Cross multiply
    267,744x = 401,628 × 401,628
  4. Step 4: Simplify right side
    267,744x = 161,305,050,384
  5. Step 5: Solve for x
    x = 161,305,050,384/267,744
  6. Step 6: Final answer
    x = 602,460.00

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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.