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Finding the Third Proportional to 318,519 and 464,629.50

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Solution

The third proportional to 318,519 and 464,629.50 is: 677,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,519 : 464,629.50 = 464,629.50 : x
  2. Step 2: Convert to fraction form
    318,519/464,629.50 = 464,629.50/x
  3. Step 3: Cross multiply
    318,519x = 464,629.50 × 464,629.50
  4. Step 4: Simplify right side
    318,519x = 215,880,572,270.25
  5. Step 5: Solve for x
    x = 215,880,572,270.25/318,519
  6. Step 6: Final answer
    x = 677,763.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.