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Finding the Third Proportional to 269,991 and 402,799.50

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Solution

The third proportional to 269,991 and 402,799.50 is: 600,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,991 : 402,799.50 = 402,799.50 : x
  2. Step 2: Convert to fraction form
    269,991/402,799.50 = 402,799.50/x
  3. Step 3: Cross multiply
    269,991x = 402,799.50 × 402,799.50
  4. Step 4: Simplify right side
    269,991x = 162,247,437,200.25
  5. Step 5: Solve for x
    x = 162,247,437,200.25/269,991
  6. Step 6: Final answer
    x = 600,936.47

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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.