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Finding the Third Proportional to 476,583.75 and 743,008.50

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Solution

The third proportional to 476,583.75 and 743,008.50 is: 1,158,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,583.75 : 743,008.50 = 743,008.50 : x
  2. Step 2: Convert to fraction form
    476,583.75/743,008.50 = 743,008.50/x
  3. Step 3: Cross multiply
    476,583.75x = 743,008.50 × 743,008.50
  4. Step 4: Simplify right side
    476,583.75x = 552,061,631,072.25
  5. Step 5: Solve for x
    x = 552,061,631,072.25/476,583.75
  6. Step 6: Final answer
    x = 1,158,372.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.