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Finding the Third Proportional to 304,013.25 and 437,906.25

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Solution

The third proportional to 304,013.25 and 437,906.25 is: 630,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,013.25 : 437,906.25 = 437,906.25 : x
  2. Step 2: Convert to fraction form
    304,013.25/437,906.25 = 437,906.25/x
  3. Step 3: Cross multiply
    304,013.25x = 437,906.25 × 437,906.25
  4. Step 4: Simplify right side
    304,013.25x = 191,761,883,789.06
  5. Step 5: Solve for x
    x = 191,761,883,789.06/304,013.25
  6. Step 6: Final answer
    x = 630,768.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.