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Finding the Third Proportional to 550,647 and 775,443.50

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Solution

The third proportional to 550,647 and 775,443.50 is: 1,092,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,647 : 775,443.50 = 775,443.50 : x
  2. Step 2: Convert to fraction form
    550,647/775,443.50 = 775,443.50/x
  3. Step 3: Cross multiply
    550,647x = 775,443.50 × 775,443.50
  4. Step 4: Simplify right side
    550,647x = 601,312,621,692.25
  5. Step 5: Solve for x
    x = 601,312,621,692.25/550,647
  6. Step 6: Final answer
    x = 1,092,011.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.