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Finding the Third Proportional to 456,466.50 and 667,797.75

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Solution

The third proportional to 456,466.50 and 667,797.75 is: 976,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,466.50 : 667,797.75 = 667,797.75 : x
  2. Step 2: Convert to fraction form
    456,466.50/667,797.75 = 667,797.75/x
  3. Step 3: Cross multiply
    456,466.50x = 667,797.75 × 667,797.75
  4. Step 4: Simplify right side
    456,466.50x = 445,953,834,905.06
  5. Step 5: Solve for x
    x = 445,953,834,905.06/456,466.50
  6. Step 6: Final answer
    x = 976,969.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.