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Finding the Third Proportional to 616,511.25 and 967,372.88

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Solution

The third proportional to 616,511.25 and 967,372.88 is: 1,517,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,511.25 : 967,372.88 = 967,372.88 : x
  2. Step 2: Convert to fraction form
    616,511.25/967,372.88 = 967,372.88/x
  3. Step 3: Cross multiply
    616,511.25x = 967,372.88 × 967,372.88
  4. Step 4: Simplify right side
    616,511.25x = 935,810,279,285.77
  5. Step 5: Solve for x
    x = 935,810,279,285.77/616,511.25
  6. Step 6: Final answer
    x = 1,517,912.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.