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Finding the Third Proportional to 541,999 and 805,141.50

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Solution

The third proportional to 541,999 and 805,141.50 is: 1,196,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,999 : 805,141.50 = 805,141.50 : x
  2. Step 2: Convert to fraction form
    541,999/805,141.50 = 805,141.50/x
  3. Step 3: Cross multiply
    541,999x = 805,141.50 × 805,141.50
  4. Step 4: Simplify right side
    541,999x = 648,252,835,022.25
  5. Step 5: Solve for x
    x = 648,252,835,022.25/541,999
  6. Step 6: Final answer
    x = 1,196,040.65

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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.