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Finding the Third Proportional to 302,170.50 and 470,022.75

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Solution

The third proportional to 302,170.50 and 470,022.75 is: 731,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,170.50 : 470,022.75 = 470,022.75 : x
  2. Step 2: Convert to fraction form
    302,170.50/470,022.75 = 470,022.75/x
  3. Step 3: Cross multiply
    302,170.50x = 470,022.75 × 470,022.75
  4. Step 4: Simplify right side
    302,170.50x = 220,921,385,517.56
  5. Step 5: Solve for x
    x = 220,921,385,517.56/302,170.50
  6. Step 6: Final answer
    x = 731,115.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.