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Finding the Third Proportional to 233,563.50 and 510,745.50

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Solution

The third proportional to 233,563.50 and 510,745.50 is: 1,116,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,563.50 : 510,745.50 = 510,745.50 : x
  2. Step 2: Convert to fraction form
    233,563.50/510,745.50 = 510,745.50/x
  3. Step 3: Cross multiply
    233,563.50x = 510,745.50 × 510,745.50
  4. Step 4: Simplify right side
    233,563.50x = 260,860,965,770.25
  5. Step 5: Solve for x
    x = 260,860,965,770.25/233,563.50
  6. Step 6: Final answer
    x = 1,116,873.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.