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Finding the Third Proportional to 257,719.50 and 387,067.50

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Solution

The third proportional to 257,719.50 and 387,067.50 is: 581,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,719.50 : 387,067.50 = 387,067.50 : x
  2. Step 2: Convert to fraction form
    257,719.50/387,067.50 = 387,067.50/x
  3. Step 3: Cross multiply
    257,719.50x = 387,067.50 × 387,067.50
  4. Step 4: Simplify right side
    257,719.50x = 149,821,249,556.25
  5. Step 5: Solve for x
    x = 149,821,249,556.25/257,719.50
  6. Step 6: Final answer
    x = 581,334.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.