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Finding the Third Proportional to 332,509.50 and 515,918.25

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Solution

The third proportional to 332,509.50 and 515,918.25 is: 800,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,509.50 : 515,918.25 = 515,918.25 : x
  2. Step 2: Convert to fraction form
    332,509.50/515,918.25 = 515,918.25/x
  3. Step 3: Cross multiply
    332,509.50x = 515,918.25 × 515,918.25
  4. Step 4: Simplify right side
    332,509.50x = 266,171,640,683.06
  5. Step 5: Solve for x
    x = 266,171,640,683.06/332,509.50
  6. Step 6: Final answer
    x = 800,493.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.