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Finding the Third Proportional to 541,965.94 and 805,089.38

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Solution

The third proportional to 541,965.94 and 805,089.38 is: 1,195,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,965.94 : 805,089.38 = 805,089.38 : x
  2. Step 2: Convert to fraction form
    541,965.94/805,089.38 = 805,089.38/x
  3. Step 3: Cross multiply
    541,965.94x = 805,089.38 × 805,089.38
  4. Step 4: Simplify right side
    541,965.94x = 648,168,901,737.89
  5. Step 5: Solve for x
    x = 648,168,901,737.89/541,965.94
  6. Step 6: Final answer
    x = 1,195,958.74

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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.