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Finding the Third Proportional to 322,538.06 and 451,123.31

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Solution

The third proportional to 322,538.06 and 451,123.31 is: 630,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,538.06 : 451,123.31 = 451,123.31 : x
  2. Step 2: Convert to fraction form
    322,538.06/451,123.31 = 451,123.31/x
  3. Step 3: Cross multiply
    322,538.06x = 451,123.31 × 451,123.31
  4. Step 4: Simplify right side
    322,538.06x = 203,512,243,080.97
  5. Step 5: Solve for x
    x = 203,512,243,080.97/322,538.06
  6. Step 6: Final answer
    x = 630,971.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.