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Finding the Third Proportional to 230,639.63 and 499,187.25

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Solution

The third proportional to 230,639.63 and 499,187.25 is: 1,080,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,639.63 : 499,187.25 = 499,187.25 : x
  2. Step 2: Convert to fraction form
    230,639.63/499,187.25 = 499,187.25/x
  3. Step 3: Cross multiply
    230,639.63x = 499,187.25 × 499,187.25
  4. Step 4: Simplify right side
    230,639.63x = 249,187,910,562.56
  5. Step 5: Solve for x
    x = 249,187,910,562.56/230,639.63
  6. Step 6: Final answer
    x = 1,080,421.07

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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.