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Finding the Third Proportional to 471,267 and 749,137.50

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Solution

The third proportional to 471,267 and 749,137.50 is: 1,190,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,267 : 749,137.50 = 749,137.50 : x
  2. Step 2: Convert to fraction form
    471,267/749,137.50 = 749,137.50/x
  3. Step 3: Cross multiply
    471,267x = 749,137.50 × 749,137.50
  4. Step 4: Simplify right side
    471,267x = 561,206,993,906.25
  5. Step 5: Solve for x
    x = 561,206,993,906.25/471,267
  6. Step 6: Final answer
    x = 1,190,847.21

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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.