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Finding the Third Proportional to 302,829 and 440,147.25

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Solution

The third proportional to 302,829 and 440,147.25 is: 639,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,829 : 440,147.25 = 440,147.25 : x
  2. Step 2: Convert to fraction form
    302,829/440,147.25 = 440,147.25/x
  3. Step 3: Cross multiply
    302,829x = 440,147.25 × 440,147.25
  4. Step 4: Simplify right side
    302,829x = 193,729,601,682.56
  5. Step 5: Solve for x
    x = 193,729,601,682.56/302,829
  6. Step 6: Final answer
    x = 639,732.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.