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Finding the Third Proportional to 647,296.50 and 970,944

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Solution

The third proportional to 647,296.50 and 970,944 is: 1,456,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,296.50 : 970,944 = 970,944 : x
  2. Step 2: Convert to fraction form
    647,296.50/970,944 = 970,944/x
  3. Step 3: Cross multiply
    647,296.50x = 970,944 × 970,944
  4. Step 4: Simplify right side
    647,296.50x = 942,732,251,136
  5. Step 5: Solve for x
    x = 942,732,251,136/647,296.50
  6. Step 6: Final answer
    x = 1,456,414.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.