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Finding the Third Proportional to 240,980 and 523,443.50

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Solution

The third proportional to 240,980 and 523,443.50 is: 1,136,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,980 : 523,443.50 = 523,443.50 : x
  2. Step 2: Convert to fraction form
    240,980/523,443.50 = 523,443.50/x
  3. Step 3: Cross multiply
    240,980x = 523,443.50 × 523,443.50
  4. Step 4: Simplify right side
    240,980x = 273,993,097,692.25
  5. Step 5: Solve for x
    x = 273,993,097,692.25/240,980
  6. Step 6: Final answer
    x = 1,136,995.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.