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Finding the Third Proportional to 733,708 and 964,822

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Solution

The third proportional to 733,708 and 964,822 is: 1,268,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,708 : 964,822 = 964,822 : x
  2. Step 2: Convert to fraction form
    733,708/964,822 = 964,822/x
  3. Step 3: Cross multiply
    733,708x = 964,822 × 964,822
  4. Step 4: Simplify right side
    733,708x = 930,881,491,684
  5. Step 5: Solve for x
    x = 930,881,491,684/733,708
  6. Step 6: Final answer
    x = 1,268,735.64

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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.