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Finding the Third Proportional to 541,969.50 and 805,093.50

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Solution

The third proportional to 541,969.50 and 805,093.50 is: 1,195,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,969.50 : 805,093.50 = 805,093.50 : x
  2. Step 2: Convert to fraction form
    541,969.50/805,093.50 = 805,093.50/x
  3. Step 3: Cross multiply
    541,969.50x = 805,093.50 × 805,093.50
  4. Step 4: Simplify right side
    541,969.50x = 648,175,543,742.25
  5. Step 5: Solve for x
    x = 648,175,543,742.25/541,969.50
  6. Step 6: Final answer
    x = 1,195,963.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.