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Finding the Third Proportional to 237,028 and 520,425

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Solution

The third proportional to 237,028 and 520,425 is: 1,142,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,028 : 520,425 = 520,425 : x
  2. Step 2: Convert to fraction form
    237,028/520,425 = 520,425/x
  3. Step 3: Cross multiply
    237,028x = 520,425 × 520,425
  4. Step 4: Simplify right side
    237,028x = 270,842,180,625
  5. Step 5: Solve for x
    x = 270,842,180,625/237,028
  6. Step 6: Final answer
    x = 1,142,659.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.