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Finding the Third Proportional to 391,811.95 and 541,395.07

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Solution

The third proportional to 391,811.95 and 541,395.07 is: 748,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,811.95 : 541,395.07 = 541,395.07 : x
  2. Step 2: Convert to fraction form
    391,811.95/541,395.07 = 541,395.07/x
  3. Step 3: Cross multiply
    391,811.95x = 541,395.07 × 541,395.07
  4. Step 4: Simplify right side
    391,811.95x = 293,108,622,158.68
  5. Step 5: Solve for x
    x = 293,108,622,158.68/391,811.95
  6. Step 6: Final answer
    x = 748,084.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.