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Finding the Third Proportional to 451,924.31 and 599,764.50

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Solution

The third proportional to 451,924.31 and 599,764.50 is: 795,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,924.31 : 599,764.50 = 599,764.50 : x
  2. Step 2: Convert to fraction form
    451,924.31/599,764.50 = 599,764.50/x
  3. Step 3: Cross multiply
    451,924.31x = 599,764.50 × 599,764.50
  4. Step 4: Simplify right side
    451,924.31x = 359,717,455,460.25
  5. Step 5: Solve for x
    x = 359,717,455,460.25/451,924.31
  6. Step 6: Final answer
    x = 795,968.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.