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Finding the Third Proportional to 249,797.25 and 380,912.63

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Solution

The third proportional to 249,797.25 and 380,912.63 is: 580,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,797.25 : 380,912.63 = 380,912.63 : x
  2. Step 2: Convert to fraction form
    249,797.25/380,912.63 = 380,912.63/x
  3. Step 3: Cross multiply
    249,797.25x = 380,912.63 × 380,912.63
  4. Step 4: Simplify right side
    249,797.25x = 145,094,427,884.39
  5. Step 5: Solve for x
    x = 145,094,427,884.39/249,797.25
  6. Step 6: Final answer
    x = 580,848.78

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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.