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Finding the Third Proportional to 372,525 and 829,372.50

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Solution

The third proportional to 372,525 and 829,372.50 is: 1,846,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,525 : 829,372.50 = 829,372.50 : x
  2. Step 2: Convert to fraction form
    372,525/829,372.50 = 829,372.50/x
  3. Step 3: Cross multiply
    372,525x = 829,372.50 × 829,372.50
  4. Step 4: Simplify right side
    372,525x = 687,858,743,756.25
  5. Step 5: Solve for x
    x = 687,858,743,756.25/372,525
  6. Step 6: Final answer
    x = 1,846,476.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.