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Finding the Third Proportional to 541,735.13 and 839,991

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Solution

The third proportional to 541,735.13 and 839,991 is: 1,302,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,735.13 : 839,991 = 839,991 : x
  2. Step 2: Convert to fraction form
    541,735.13/839,991 = 839,991/x
  3. Step 3: Cross multiply
    541,735.13x = 839,991 × 839,991
  4. Step 4: Simplify right side
    541,735.13x = 705,584,880,081
  5. Step 5: Solve for x
    x = 705,584,880,081/541,735.13
  6. Step 6: Final answer
    x = 1,302,453.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.