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Finding the Third Proportional to 332,926.88 and 733,718.25

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Solution

The third proportional to 332,926.88 and 733,718.25 is: 1,616,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,926.88 : 733,718.25 = 733,718.25 : x
  2. Step 2: Convert to fraction form
    332,926.88/733,718.25 = 733,718.25/x
  3. Step 3: Cross multiply
    332,926.88x = 733,718.25 × 733,718.25
  4. Step 4: Simplify right side
    332,926.88x = 538,342,470,383.06
  5. Step 5: Solve for x
    x = 538,342,470,383.06/332,926.88
  6. Step 6: Final answer
    x = 1,616,999.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.