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Finding the Third Proportional to 372,493.50 and 557,256.75

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Solution

The third proportional to 372,493.50 and 557,256.75 is: 833,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,493.50 : 557,256.75 = 557,256.75 : x
  2. Step 2: Convert to fraction form
    372,493.50/557,256.75 = 557,256.75/x
  3. Step 3: Cross multiply
    372,493.50x = 557,256.75 × 557,256.75
  4. Step 4: Simplify right side
    372,493.50x = 310,535,085,420.56
  5. Step 5: Solve for x
    x = 310,535,085,420.56/372,493.50
  6. Step 6: Final answer
    x = 833,665.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.