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Finding the Third Proportional to 305,665 and 664,034

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Solution

The third proportional to 305,665 and 664,034 is: 1,442,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,665 : 664,034 = 664,034 : x
  2. Step 2: Convert to fraction form
    305,665/664,034 = 664,034/x
  3. Step 3: Cross multiply
    305,665x = 664,034 × 664,034
  4. Step 4: Simplify right side
    305,665x = 440,941,153,156
  5. Step 5: Solve for x
    x = 440,941,153,156/305,665
  6. Step 6: Final answer
    x = 1,442,563.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.