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Finding the Third Proportional to 442,964.25 and 664,308

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Solution

The third proportional to 442,964.25 and 664,308 is: 996,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,964.25 : 664,308 = 664,308 : x
  2. Step 2: Convert to fraction form
    442,964.25/664,308 = 664,308/x
  3. Step 3: Cross multiply
    442,964.25x = 664,308 × 664,308
  4. Step 4: Simplify right side
    442,964.25x = 441,305,118,864
  5. Step 5: Solve for x
    x = 441,305,118,864/442,964.25
  6. Step 6: Final answer
    x = 996,254.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.