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Finding the Third Proportional to 207,624.38 and 320,622.75

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Solution

The third proportional to 207,624.38 and 320,622.75 is: 495,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,624.38 : 320,622.75 = 320,622.75 : x
  2. Step 2: Convert to fraction form
    207,624.38/320,622.75 = 320,622.75/x
  3. Step 3: Cross multiply
    207,624.38x = 320,622.75 × 320,622.75
  4. Step 4: Simplify right side
    207,624.38x = 102,798,947,817.56
  5. Step 5: Solve for x
    x = 102,798,947,817.56/207,624.38
  6. Step 6: Final answer
    x = 495,119.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.