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Finding the Third Proportional to 632,956.78 and 904,481.44

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Solution

The third proportional to 632,956.78 and 904,481.44 is: 1,292,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,956.78 : 904,481.44 = 904,481.44 : x
  2. Step 2: Convert to fraction form
    632,956.78/904,481.44 = 904,481.44/x
  3. Step 3: Cross multiply
    632,956.78x = 904,481.44 × 904,481.44
  4. Step 4: Simplify right side
    632,956.78x = 818,086,670,782.07
  5. Step 5: Solve for x
    x = 818,086,670,782.07/632,956.78
  6. Step 6: Final answer
    x = 1,292,484.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.