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Finding the Third Proportional to 308,670.75 and 475,044.75

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Solution

The third proportional to 308,670.75 and 475,044.75 is: 731,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,670.75 : 475,044.75 = 475,044.75 : x
  2. Step 2: Convert to fraction form
    308,670.75/475,044.75 = 475,044.75/x
  3. Step 3: Cross multiply
    308,670.75x = 475,044.75 × 475,044.75
  4. Step 4: Simplify right side
    308,670.75x = 225,667,514,502.56
  5. Step 5: Solve for x
    x = 225,667,514,502.56/308,670.75
  6. Step 6: Final answer
    x = 731,094.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.