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Finding the Third Proportional to 305,884.50 and 664,317

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Solution

The third proportional to 305,884.50 and 664,317 is: 1,442,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,884.50 : 664,317 = 664,317 : x
  2. Step 2: Convert to fraction form
    305,884.50/664,317 = 664,317/x
  3. Step 3: Cross multiply
    305,884.50x = 664,317 × 664,317
  4. Step 4: Simplify right side
    305,884.50x = 441,317,076,489
  5. Step 5: Solve for x
    x = 441,317,076,489/305,884.50
  6. Step 6: Final answer
    x = 1,442,757.24

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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.