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Finding the Third Proportional to 463,744.50 and 737,692.50

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Solution

The third proportional to 463,744.50 and 737,692.50 is: 1,173,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,744.50 : 737,692.50 = 737,692.50 : x
  2. Step 2: Convert to fraction form
    463,744.50/737,692.50 = 737,692.50/x
  3. Step 3: Cross multiply
    463,744.50x = 737,692.50 × 737,692.50
  4. Step 4: Simplify right side
    463,744.50x = 544,190,224,556.25
  5. Step 5: Solve for x
    x = 544,190,224,556.25/463,744.50
  6. Step 6: Final answer
    x = 1,173,469.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.