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Finding the Third Proportional to 302,022.50 and 422,471.75

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Solution

The third proportional to 302,022.50 and 422,471.75 is: 590,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,022.50 : 422,471.75 = 422,471.75 : x
  2. Step 2: Convert to fraction form
    302,022.50/422,471.75 = 422,471.75/x
  3. Step 3: Cross multiply
    302,022.50x = 422,471.75 × 422,471.75
  4. Step 4: Simplify right side
    302,022.50x = 178,482,379,548.06
  5. Step 5: Solve for x
    x = 178,482,379,548.06/302,022.50
  6. Step 6: Final answer
    x = 590,957.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.