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Finding the Third Proportional to 318,217.50 and 466,614

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Solution

The third proportional to 318,217.50 and 466,614 is: 684,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,217.50 : 466,614 = 466,614 : x
  2. Step 2: Convert to fraction form
    318,217.50/466,614 = 466,614/x
  3. Step 3: Cross multiply
    318,217.50x = 466,614 × 466,614
  4. Step 4: Simplify right side
    318,217.50x = 217,728,624,996
  5. Step 5: Solve for x
    x = 217,728,624,996/318,217.50
  6. Step 6: Final answer
    x = 684,213.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.