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Finding the Third Proportional to 230,675 and 499,246.75

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Solution

The third proportional to 230,675 and 499,246.75 is: 1,080,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,675 : 499,246.75 = 499,246.75 : x
  2. Step 2: Convert to fraction form
    230,675/499,246.75 = 499,246.75/x
  3. Step 3: Cross multiply
    230,675x = 499,246.75 × 499,246.75
  4. Step 4: Simplify right side
    230,675x = 249,247,317,385.56
  5. Step 5: Solve for x
    x = 249,247,317,385.56/230,675
  6. Step 6: Final answer
    x = 1,080,512.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.