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Finding the Third Proportional to 239,787 and 524,655.75

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Solution

The third proportional to 239,787 and 524,655.75 is: 1,147,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,787 : 524,655.75 = 524,655.75 : x
  2. Step 2: Convert to fraction form
    239,787/524,655.75 = 524,655.75/x
  3. Step 3: Cross multiply
    239,787x = 524,655.75 × 524,655.75
  4. Step 4: Simplify right side
    239,787x = 275,263,656,008.06
  5. Step 5: Solve for x
    x = 275,263,656,008.06/239,787
  6. Step 6: Final answer
    x = 1,147,950.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.