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Finding the Third Proportional to 327,058 and 701,402

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Solution

The third proportional to 327,058 and 701,402 is: 1,504,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,058 : 701,402 = 701,402 : x
  2. Step 2: Convert to fraction form
    327,058/701,402 = 701,402/x
  3. Step 3: Cross multiply
    327,058x = 701,402 × 701,402
  4. Step 4: Simplify right side
    327,058x = 491,964,765,604
  5. Step 5: Solve for x
    x = 491,964,765,604/327,058
  6. Step 6: Final answer
    x = 1,504,212.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.