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Finding the Third Proportional to 733,718 and 964,834

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Solution

The third proportional to 733,718 and 964,834 is: 1,268,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,718 : 964,834 = 964,834 : x
  2. Step 2: Convert to fraction form
    733,718/964,834 = 964,834/x
  3. Step 3: Cross multiply
    733,718x = 964,834 × 964,834
  4. Step 4: Simplify right side
    733,718x = 930,904,647,556
  5. Step 5: Solve for x
    x = 930,904,647,556/733,718
  6. Step 6: Final answer
    x = 1,268,749.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.