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Finding the Third Proportional to 269,692.50 and 404,052

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Solution

The third proportional to 269,692.50 and 404,052 is: 605,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,692.50 : 404,052 = 404,052 : x
  2. Step 2: Convert to fraction form
    269,692.50/404,052 = 404,052/x
  3. Step 3: Cross multiply
    269,692.50x = 404,052 × 404,052
  4. Step 4: Simplify right side
    269,692.50x = 163,258,018,704
  5. Step 5: Solve for x
    x = 163,258,018,704/269,692.50
  6. Step 6: Final answer
    x = 605,348.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.