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Finding the Third Proportional to 433,842.75 and 667,257.75

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Solution

The third proportional to 433,842.75 and 667,257.75 is: 1,026,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,842.75 : 667,257.75 = 667,257.75 : x
  2. Step 2: Convert to fraction form
    433,842.75/667,257.75 = 667,257.75/x
  3. Step 3: Cross multiply
    433,842.75x = 667,257.75 × 667,257.75
  4. Step 4: Simplify right side
    433,842.75x = 445,232,904,935.06
  5. Step 5: Solve for x
    x = 445,232,904,935.06/433,842.75
  6. Step 6: Final answer
    x = 1,026,254.11

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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.