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Finding the Third Proportional to 372,020.13 and 523,888.75

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Solution

The third proportional to 372,020.13 and 523,888.75 is: 737,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,020.13 : 523,888.75 = 523,888.75 : x
  2. Step 2: Convert to fraction form
    372,020.13/523,888.75 = 523,888.75/x
  3. Step 3: Cross multiply
    372,020.13x = 523,888.75 × 523,888.75
  4. Step 4: Simplify right side
    372,020.13x = 274,459,422,376.56
  5. Step 5: Solve for x
    x = 274,459,422,376.56/372,020.13
  6. Step 6: Final answer
    x = 737,754.23

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