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Finding the Third Proportional to 456,447 and 667,768.50

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Solution

The third proportional to 456,447 and 667,768.50 is: 976,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,447 : 667,768.50 = 667,768.50 : x
  2. Step 2: Convert to fraction form
    456,447/667,768.50 = 667,768.50/x
  3. Step 3: Cross multiply
    456,447x = 667,768.50 × 667,768.50
  4. Step 4: Simplify right side
    456,447x = 445,914,769,592.25
  5. Step 5: Solve for x
    x = 445,914,769,592.25/456,447
  6. Step 6: Final answer
    x = 976,925.62

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