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Finding the Third Proportional to 273,742.50 and 587,763

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Solution

The third proportional to 273,742.50 and 587,763 is: 1,262,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,742.50 : 587,763 = 587,763 : x
  2. Step 2: Convert to fraction form
    273,742.50/587,763 = 587,763/x
  3. Step 3: Cross multiply
    273,742.50x = 587,763 × 587,763
  4. Step 4: Simplify right side
    273,742.50x = 345,465,344,169
  5. Step 5: Solve for x
    x = 345,465,344,169/273,742.50
  6. Step 6: Final answer
    x = 1,262,008.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.