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Finding the Third Proportional to 550,986.50 and 834,797.50

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Solution

The third proportional to 550,986.50 and 834,797.50 is: 1,264,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,986.50 : 834,797.50 = 834,797.50 : x
  2. Step 2: Convert to fraction form
    550,986.50/834,797.50 = 834,797.50/x
  3. Step 3: Cross multiply
    550,986.50x = 834,797.50 × 834,797.50
  4. Step 4: Simplify right side
    550,986.50x = 696,886,866,006.25
  5. Step 5: Solve for x
    x = 696,886,866,006.25/550,986.50
  6. Step 6: Final answer
    x = 1,264,798.44

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.