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Finding the Third Proportional to 408,138.75 and 537,090.75

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Solution

The third proportional to 408,138.75 and 537,090.75 is: 706,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,138.75 : 537,090.75 = 537,090.75 : x
  2. Step 2: Convert to fraction form
    408,138.75/537,090.75 = 537,090.75/x
  3. Step 3: Cross multiply
    408,138.75x = 537,090.75 × 537,090.75
  4. Step 4: Simplify right side
    408,138.75x = 288,466,473,735.56
  5. Step 5: Solve for x
    x = 288,466,473,735.56/408,138.75
  6. Step 6: Final answer
    x = 706,785.31

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.