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Finding the Third Proportional to 433,329.75 and 624,172.50

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Solution

The third proportional to 433,329.75 and 624,172.50 is: 899,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,329.75 : 624,172.50 = 624,172.50 : x
  2. Step 2: Convert to fraction form
    433,329.75/624,172.50 = 624,172.50/x
  3. Step 3: Cross multiply
    433,329.75x = 624,172.50 × 624,172.50
  4. Step 4: Simplify right side
    433,329.75x = 389,591,309,756.25
  5. Step 5: Solve for x
    x = 389,591,309,756.25/433,329.75
  6. Step 6: Final answer
    x = 899,064.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.