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Finding the Third Proportional to 269,809.31 and 389,797.31

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Solution

The third proportional to 269,809.31 and 389,797.31 is: 563,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,809.31 : 389,797.31 = 389,797.31 : x
  2. Step 2: Convert to fraction form
    269,809.31/389,797.31 = 389,797.31/x
  3. Step 3: Cross multiply
    269,809.31x = 389,797.31 × 389,797.31
  4. Step 4: Simplify right side
    269,809.31x = 151,941,944,832.22
  5. Step 5: Solve for x
    x = 151,941,944,832.22/269,809.31
  6. Step 6: Final answer
    x = 563,145.67

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.