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Finding the Third Proportional to 616,512.75 and 967,375.50

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Solution

The third proportional to 616,512.75 and 967,375.50 is: 1,517,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,512.75 : 967,375.50 = 967,375.50 : x
  2. Step 2: Convert to fraction form
    616,512.75/967,375.50 = 967,375.50/x
  3. Step 3: Cross multiply
    616,512.75x = 967,375.50 × 967,375.50
  4. Step 4: Simplify right side
    616,512.75x = 935,815,358,000.25
  5. Step 5: Solve for x
    x = 935,815,358,000.25/616,512.75
  6. Step 6: Final answer
    x = 1,517,917.28

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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.