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Finding the Third Proportional to 332,125.75 and 728,085.25

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Solution

The third proportional to 332,125.75 and 728,085.25 is: 1,596,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,125.75 : 728,085.25 = 728,085.25 : x
  2. Step 2: Convert to fraction form
    332,125.75/728,085.25 = 728,085.25/x
  3. Step 3: Cross multiply
    332,125.75x = 728,085.25 × 728,085.25
  4. Step 4: Simplify right side
    332,125.75x = 530,108,131,267.56
  5. Step 5: Solve for x
    x = 530,108,131,267.56/332,125.75
  6. Step 6: Final answer
    x = 1,596,106.69

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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.