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Finding the Third Proportional to 305,269 and 664,774

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Solution

The third proportional to 305,269 and 664,774 is: 1,447,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,269 : 664,774 = 664,774 : x
  2. Step 2: Convert to fraction form
    305,269/664,774 = 664,774/x
  3. Step 3: Cross multiply
    305,269x = 664,774 × 664,774
  4. Step 4: Simplify right side
    305,269x = 441,924,471,076
  5. Step 5: Solve for x
    x = 441,924,471,076/305,269
  6. Step 6: Final answer
    x = 1,447,655.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.