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Finding the Third Proportional to 249,429.56 and 380,371.69

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Solution

The third proportional to 249,429.56 and 380,371.69 is: 580,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,429.56 : 380,371.69 = 380,371.69 : x
  2. Step 2: Convert to fraction form
    249,429.56/380,371.69 = 380,371.69/x
  3. Step 3: Cross multiply
    249,429.56x = 380,371.69 × 380,371.69
  4. Step 4: Simplify right side
    249,429.56x = 144,682,620,651.60
  5. Step 5: Solve for x
    x = 144,682,620,651.60/249,429.56
  6. Step 6: Final answer
    x = 580,054.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.