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Finding the Third Proportional to 386,334.56 and 590,986.13

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Solution

The third proportional to 386,334.56 and 590,986.13 is: 904,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,334.56 : 590,986.13 = 590,986.13 : x
  2. Step 2: Convert to fraction form
    386,334.56/590,986.13 = 590,986.13/x
  3. Step 3: Cross multiply
    386,334.56x = 590,986.13 × 590,986.13
  4. Step 4: Simplify right side
    386,334.56x = 349,264,599,942.52
  5. Step 5: Solve for x
    x = 349,264,599,942.52/386,334.56
  6. Step 6: Final answer
    x = 904,046.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.