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Finding the Third Proportional to 372,632.91 and 591,024.09

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Solution

The third proportional to 372,632.91 and 591,024.09 is: 937,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,632.91 : 591,024.09 = 591,024.09 : x
  2. Step 2: Convert to fraction form
    372,632.91/591,024.09 = 591,024.09/x
  3. Step 3: Cross multiply
    372,632.91x = 591,024.09 × 591,024.09
  4. Step 4: Simplify right side
    372,632.91x = 349,309,479,393.01
  5. Step 5: Solve for x
    x = 349,309,479,393.01/372,632.91
  6. Step 6: Final answer
    x = 937,409.11

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.