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Finding the Third Proportional to 332,296.31 and 728,926.31

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Solution

The third proportional to 332,296.31 and 728,926.31 is: 1,598,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,296.31 : 728,926.31 = 728,926.31 : x
  2. Step 2: Convert to fraction form
    332,296.31/728,926.31 = 728,926.31/x
  3. Step 3: Cross multiply
    332,296.31x = 728,926.31 × 728,926.31
  4. Step 4: Simplify right side
    332,296.31x = 531,333,569,054.85
  5. Step 5: Solve for x
    x = 531,333,569,054.85/332,296.31
  6. Step 6: Final answer
    x = 1,598,975.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.