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Finding the Third Proportional to 332,297.50 and 728,928.50

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Solution

The third proportional to 332,297.50 and 728,928.50 is: 1,598,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,297.50 : 728,928.50 = 728,928.50 : x
  2. Step 2: Convert to fraction form
    332,297.50/728,928.50 = 728,928.50/x
  3. Step 3: Cross multiply
    332,297.50x = 728,928.50 × 728,928.50
  4. Step 4: Simplify right side
    332,297.50x = 531,336,758,112.25
  5. Step 5: Solve for x
    x = 531,336,758,112.25/332,297.50
  6. Step 6: Final answer
    x = 1,598,979.10

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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.