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Finding the Third Proportional to 271,242 and 401,332.50

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Solution

The third proportional to 271,242 and 401,332.50 is: 593,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,242 : 401,332.50 = 401,332.50 : x
  2. Step 2: Convert to fraction form
    271,242/401,332.50 = 401,332.50/x
  3. Step 3: Cross multiply
    271,242x = 401,332.50 × 401,332.50
  4. Step 4: Simplify right side
    271,242x = 161,067,775,556.25
  5. Step 5: Solve for x
    x = 161,067,775,556.25/271,242
  6. Step 6: Final answer
    x = 593,815.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.