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Finding the Third Proportional to 229,311 and 486,369.56

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Solution

The third proportional to 229,311 and 486,369.56 is: 1,031,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,311 : 486,369.56 = 486,369.56 : x
  2. Step 2: Convert to fraction form
    229,311/486,369.56 = 486,369.56/x
  3. Step 3: Cross multiply
    229,311x = 486,369.56 × 486,369.56
  4. Step 4: Simplify right side
    229,311x = 236,555,351,326.44
  5. Step 5: Solve for x
    x = 236,555,351,326.44/229,311
  6. Step 6: Final answer
    x = 1,031,591.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.