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Finding the Third Proportional to 496,765.50 and 1,105,950

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Solution

The third proportional to 496,765.50 and 1,105,950 is: 2,462,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,765.50 : 1,105,950 = 1,105,950 : x
  2. Step 2: Convert to fraction form
    496,765.50/1,105,950 = 1,105,950/x
  3. Step 3: Cross multiply
    496,765.50x = 1,105,950 × 1,105,950
  4. Step 4: Simplify right side
    496,765.50x = 1,223,125,402,500
  5. Step 5: Solve for x
    x = 1,223,125,402,500/496,765.50
  6. Step 6: Final answer
    x = 2,462,178.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.