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Finding the Third Proportional to 616,829.50 and 967,845

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Solution

The third proportional to 616,829.50 and 967,845 is: 1,518,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,829.50 : 967,845 = 967,845 : x
  2. Step 2: Convert to fraction form
    616,829.50/967,845 = 967,845/x
  3. Step 3: Cross multiply
    616,829.50x = 967,845 × 967,845
  4. Step 4: Simplify right side
    616,829.50x = 936,723,944,025
  5. Step 5: Solve for x
    x = 936,723,944,025/616,829.50
  6. Step 6: Final answer
    x = 1,518,610.81

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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.