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Finding the Third Proportional to 321,750.56 and 482,004.84

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Solution

The third proportional to 321,750.56 and 482,004.84 is: 722,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,750.56 : 482,004.84 = 482,004.84 : x
  2. Step 2: Convert to fraction form
    321,750.56/482,004.84 = 482,004.84/x
  3. Step 3: Cross multiply
    321,750.56x = 482,004.84 × 482,004.84
  4. Step 4: Simplify right side
    321,750.56x = 232,328,669,398.46
  5. Step 5: Solve for x
    x = 232,328,669,398.46/321,750.56
  6. Step 6: Final answer
    x = 722,076.96

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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.