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Finding the Third Proportional to 233,268.75 and 499,704.75

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Solution

The third proportional to 233,268.75 and 499,704.75 is: 1,070,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,268.75 : 499,704.75 = 499,704.75 : x
  2. Step 2: Convert to fraction form
    233,268.75/499,704.75 = 499,704.75/x
  3. Step 3: Cross multiply
    233,268.75x = 499,704.75 × 499,704.75
  4. Step 4: Simplify right side
    233,268.75x = 249,704,837,172.56
  5. Step 5: Solve for x
    x = 249,704,837,172.56/233,268.75
  6. Step 6: Final answer
    x = 1,070,459.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.