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Finding the Third Proportional to 471,736.50 and 628,492.50

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Solution

The third proportional to 471,736.50 and 628,492.50 is: 837,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,736.50 : 628,492.50 = 628,492.50 : x
  2. Step 2: Convert to fraction form
    471,736.50/628,492.50 = 628,492.50/x
  3. Step 3: Cross multiply
    471,736.50x = 628,492.50 × 628,492.50
  4. Step 4: Simplify right side
    471,736.50x = 395,002,822,556.25
  5. Step 5: Solve for x
    x = 395,002,822,556.25/471,736.50
  6. Step 6: Final answer
    x = 837,337.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.