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Finding the Third Proportional to 275,323.50 and 387,721.75

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Solution

The third proportional to 275,323.50 and 387,721.75 is: 546,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,323.50 : 387,721.75 = 387,721.75 : x
  2. Step 2: Convert to fraction form
    275,323.50/387,721.75 = 387,721.75/x
  3. Step 3: Cross multiply
    275,323.50x = 387,721.75 × 387,721.75
  4. Step 4: Simplify right side
    275,323.50x = 150,328,155,423.06
  5. Step 5: Solve for x
    x = 150,328,155,423.06/275,323.50
  6. Step 6: Final answer
    x = 546,005.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.