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Finding the Third Proportional to 235,507.50 and 490,941

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Solution

The third proportional to 235,507.50 and 490,941 is: 1,023,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,507.50 : 490,941 = 490,941 : x
  2. Step 2: Convert to fraction form
    235,507.50/490,941 = 490,941/x
  3. Step 3: Cross multiply
    235,507.50x = 490,941 × 490,941
  4. Step 4: Simplify right side
    235,507.50x = 241,023,065,481
  5. Step 5: Solve for x
    x = 241,023,065,481/235,507.50
  6. Step 6: Final answer
    x = 1,023,419.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.